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Finding the Fourth Proportional to 7,662,944.20, 11,493,494.70 and 3,174,752.20

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Solution

The fourth proportional to 7,662,944.20, 11,493,494.70 and 3,174,752.20 is: 4,761,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662,944.20 : 11,493,494.70 = 3,174,752.20 : x
  2. Step 2: Convert to fraction form
    7,662,944.20/11,493,494.70 = 3,174,752.20/x
  3. Step 3: Cross multiply
    7,662,944.20x = 11,493,494.70 × 3,174,752.20
  4. Step 4: Simplify right side
    7,662,944.20x = 36,488,997,584,513.34
  5. Step 5: Solve for x
    x = 36,488,997,584,513.34/7,662,944.20
  6. Step 6: Final answer
    x = 4,761,746.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.