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Finding the Fourth Proportional to 10,737.72, 14,818.68 and 8,080.38

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Solution

The fourth proportional to 10,737.72, 14,818.68 and 8,080.38 is: 11,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.72 : 14,818.68 = 8,080.38 : x
  2. Step 2: Convert to fraction form
    10,737.72/14,818.68 = 8,080.38/x
  3. Step 3: Cross multiply
    10,737.72x = 14,818.68 × 8,080.38
  4. Step 4: Simplify right side
    10,737.72x = 119,740,565.50
  5. Step 5: Solve for x
    x = 119,740,565.50/10,737.72
  6. Step 6: Final answer
    x = 11,151.40

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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.