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Finding the Fourth Proportional to 10,468.29, 14,446.13 and 5,752.47

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Solution

The fourth proportional to 10,468.29, 14,446.13 and 5,752.47 is: 7,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.29 : 14,446.13 = 5,752.47 : x
  2. Step 2: Convert to fraction form
    10,468.29/14,446.13 = 5,752.47/x
  3. Step 3: Cross multiply
    10,468.29x = 14,446.13 × 5,752.47
  4. Step 4: Simplify right side
    10,468.29x = 83,100,929.44
  5. Step 5: Solve for x
    x = 83,100,929.44/10,468.29
  6. Step 6: Final answer
    x = 7,938.35

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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.