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Finding the Fourth Proportional to 7,031.71, 10,549.24 and 3,744.12

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Solution

The fourth proportional to 7,031.71, 10,549.24 and 3,744.12 is: 5,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.71 : 10,549.24 = 3,744.12 : x
  2. Step 2: Convert to fraction form
    7,031.71/10,549.24 = 3,744.12/x
  3. Step 3: Cross multiply
    7,031.71x = 10,549.24 × 3,744.12
  4. Step 4: Simplify right side
    7,031.71x = 39,497,650.67
  5. Step 5: Solve for x
    x = 39,497,650.67/7,031.71
  6. Step 6: Final answer
    x = 5,617.08

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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.