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Finding the Fourth Proportional to 10,402.57, 15,605.34 and 3,380.32

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Solution

The fourth proportional to 10,402.57, 15,605.34 and 3,380.32 is: 5,070.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.57 : 15,605.34 = 3,380.32 : x
  2. Step 2: Convert to fraction form
    10,402.57/15,605.34 = 3,380.32/x
  3. Step 3: Cross multiply
    10,402.57x = 15,605.34 × 3,380.32
  4. Step 4: Simplify right side
    10,402.57x = 52,751,042.91
  5. Step 5: Solve for x
    x = 52,751,042.91/10,402.57
  6. Step 6: Final answer
    x = 5,070.96

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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.