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Finding the Fourth Proportional to 10,151.04, 14,008.74 and 5,613.78

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Solution

The fourth proportional to 10,151.04, 14,008.74 and 5,613.78 is: 7,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.04 : 14,008.74 = 5,613.78 : x
  2. Step 2: Convert to fraction form
    10,151.04/14,008.74 = 5,613.78/x
  3. Step 3: Cross multiply
    10,151.04x = 14,008.74 × 5,613.78
  4. Step 4: Simplify right side
    10,151.04x = 78,641,984.44
  5. Step 5: Solve for x
    x = 78,641,984.44/10,151.04
  6. Step 6: Final answer
    x = 7,747.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.