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Finding the Fourth Proportional to 10,752.90, 14,844.02 and 7,173.82

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Solution

The fourth proportional to 10,752.90, 14,844.02 and 7,173.82 is: 9,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.90 : 14,844.02 = 7,173.82 : x
  2. Step 2: Convert to fraction form
    10,752.90/14,844.02 = 7,173.82/x
  3. Step 3: Cross multiply
    10,752.90x = 14,844.02 × 7,173.82
  4. Step 4: Simplify right side
    10,752.90x = 106,488,327.56
  5. Step 5: Solve for x
    x = 106,488,327.56/10,752.90
  6. Step 6: Final answer
    x = 9,903.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.