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Finding the Fourth Proportional to 10,086.69, 15,144.08 and 5,159.73

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Solution

The fourth proportional to 10,086.69, 15,144.08 and 5,159.73 is: 7,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.69 : 15,144.08 = 5,159.73 : x
  2. Step 2: Convert to fraction form
    10,086.69/15,144.08 = 5,159.73/x
  3. Step 3: Cross multiply
    10,086.69x = 15,144.08 × 5,159.73
  4. Step 4: Simplify right side
    10,086.69x = 78,139,338.10
  5. Step 5: Solve for x
    x = 78,139,338.10/10,086.69
  6. Step 6: Final answer
    x = 7,746.78

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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.