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Finding the Fourth Proportional to 10,800.38, 14,909.52 and 7,616.27

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Solution

The fourth proportional to 10,800.38, 14,909.52 and 7,616.27 is: 10,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.38 : 14,909.52 = 7,616.27 : x
  2. Step 2: Convert to fraction form
    10,800.38/14,909.52 = 7,616.27/x
  3. Step 3: Cross multiply
    10,800.38x = 14,909.52 × 7,616.27
  4. Step 4: Simplify right side
    10,800.38x = 113,554,855.34
  5. Step 5: Solve for x
    x = 113,554,855.34/10,800.38
  6. Step 6: Final answer
    x = 10,513.97

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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.