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Finding the Fourth Proportional to 10,159.71, 15,226.20 and 5,469.81

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Solution

The fourth proportional to 10,159.71, 15,226.20 and 5,469.81 is: 8,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.71 : 15,226.20 = 5,469.81 : x
  2. Step 2: Convert to fraction form
    10,159.71/15,226.20 = 5,469.81/x
  3. Step 3: Cross multiply
    10,159.71x = 15,226.20 × 5,469.81
  4. Step 4: Simplify right side
    10,159.71x = 83,284,421.02
  5. Step 5: Solve for x
    x = 83,284,421.02/10,159.71
  6. Step 6: Final answer
    x = 8,197.52

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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.