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Finding the Fourth Proportional to 10,524.38, 14,524.71 and 9,037.22

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Solution

The fourth proportional to 10,524.38, 14,524.71 and 9,037.22 is: 12,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.38 : 14,524.71 = 9,037.22 : x
  2. Step 2: Convert to fraction form
    10,524.38/14,524.71 = 9,037.22/x
  3. Step 3: Cross multiply
    10,524.38x = 14,524.71 × 9,037.22
  4. Step 4: Simplify right side
    10,524.38x = 131,262,999.71
  5. Step 5: Solve for x
    x = 131,262,999.71/10,524.38
  6. Step 6: Final answer
    x = 12,472.28

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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.