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Finding the Fourth Proportional to 10,516.56, 15,774.84 and 5,902.80

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Solution

The fourth proportional to 10,516.56, 15,774.84 and 5,902.80 is: 8,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.56 : 15,774.84 = 5,902.80 : x
  2. Step 2: Convert to fraction form
    10,516.56/15,774.84 = 5,902.80/x
  3. Step 3: Cross multiply
    10,516.56x = 15,774.84 × 5,902.80
  4. Step 4: Simplify right side
    10,516.56x = 93,115,725.55
  5. Step 5: Solve for x
    x = 93,115,725.55/10,516.56
  6. Step 6: Final answer
    x = 8,854.20

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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.