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Finding the Fourth Proportional to 10,902.46, 16,359.60 and 8,442.10

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Solution

The fourth proportional to 10,902.46, 16,359.60 and 8,442.10 is: 12,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.46 : 16,359.60 = 8,442.10 : x
  2. Step 2: Convert to fraction form
    10,902.46/16,359.60 = 8,442.10/x
  3. Step 3: Cross multiply
    10,902.46x = 16,359.60 × 8,442.10
  4. Step 4: Simplify right side
    10,902.46x = 138,109,379.16
  5. Step 5: Solve for x
    x = 138,109,379.16/10,902.46
  6. Step 6: Final answer
    x = 12,667.73

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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.