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Finding the Fourth Proportional to 10,512.38, 14,502.03 and 6,538.16

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Solution

The fourth proportional to 10,512.38, 14,502.03 and 6,538.16 is: 9,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.38 : 14,502.03 = 6,538.16 : x
  2. Step 2: Convert to fraction form
    10,512.38/14,502.03 = 6,538.16/x
  3. Step 3: Cross multiply
    10,512.38x = 14,502.03 × 6,538.16
  4. Step 4: Simplify right side
    10,512.38x = 94,816,592.46
  5. Step 5: Solve for x
    x = 94,816,592.46/10,512.38
  6. Step 6: Final answer
    x = 9,019.52

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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.