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Finding the Fourth Proportional to 10,149.80, 15,227.58 and 6,151.64

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Solution

The fourth proportional to 10,149.80, 15,227.58 and 6,151.64 is: 9,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.80 : 15,227.58 = 6,151.64 : x
  2. Step 2: Convert to fraction form
    10,149.80/15,227.58 = 6,151.64/x
  3. Step 3: Cross multiply
    10,149.80x = 15,227.58 × 6,151.64
  4. Step 4: Simplify right side
    10,149.80x = 93,674,590.23
  5. Step 5: Solve for x
    x = 93,674,590.23/10,149.80
  6. Step 6: Final answer
    x = 9,229.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.