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Finding the Fourth Proportional to 10,956.25, 16,427.80 and 5,025.71

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Solution

The fourth proportional to 10,956.25, 16,427.80 and 5,025.71 is: 7,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.25 : 16,427.80 = 5,025.71 : x
  2. Step 2: Convert to fraction form
    10,956.25/16,427.80 = 5,025.71/x
  3. Step 3: Cross multiply
    10,956.25x = 16,427.80 × 5,025.71
  4. Step 4: Simplify right side
    10,956.25x = 82,561,358.74
  5. Step 5: Solve for x
    x = 82,561,358.74/10,956.25
  6. Step 6: Final answer
    x = 7,535.55

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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.