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Finding the Fourth Proportional to 7,102.74, 10,656.30 and 2,944.68

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Solution

The fourth proportional to 7,102.74, 10,656.30 and 2,944.68 is: 4,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.74 : 10,656.30 = 2,944.68 : x
  2. Step 2: Convert to fraction form
    7,102.74/10,656.30 = 2,944.68/x
  3. Step 3: Cross multiply
    7,102.74x = 10,656.30 × 2,944.68
  4. Step 4: Simplify right side
    7,102.74x = 31,379,393.48
  5. Step 5: Solve for x
    x = 31,379,393.48/7,102.74
  6. Step 6: Final answer
    x = 4,417.93

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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.