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Finding the Fourth Proportional to 10,366.25, 15,555.92 and 5,439.42

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Solution

The fourth proportional to 10,366.25, 15,555.92 and 5,439.42 is: 8,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.25 : 15,555.92 = 5,439.42 : x
  2. Step 2: Convert to fraction form
    10,366.25/15,555.92 = 5,439.42/x
  3. Step 3: Cross multiply
    10,366.25x = 15,555.92 × 5,439.42
  4. Step 4: Simplify right side
    10,366.25x = 84,615,155.17
  5. Step 5: Solve for x
    x = 84,615,155.17/10,366.25
  6. Step 6: Final answer
    x = 8,162.57

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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.