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Finding the Fourth Proportional to 10,902.60, 15,012.27 and 8,217.72

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Solution

The fourth proportional to 10,902.60, 15,012.27 and 8,217.72 is: 11,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.60 : 15,012.27 = 8,217.72 : x
  2. Step 2: Convert to fraction form
    10,902.60/15,012.27 = 8,217.72/x
  3. Step 3: Cross multiply
    10,902.60x = 15,012.27 × 8,217.72
  4. Step 4: Simplify right side
    10,902.60x = 123,366,631.42
  5. Step 5: Solve for x
    x = 123,366,631.42/10,902.60
  6. Step 6: Final answer
    x = 11,315.34

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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.