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Finding the Fourth Proportional to 10,269.60, 15,418.80 and 6,381.60

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Solution

The fourth proportional to 10,269.60, 15,418.80 and 6,381.60 is: 9,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.60 : 15,418.80 = 6,381.60 : x
  2. Step 2: Convert to fraction form
    10,269.60/15,418.80 = 6,381.60/x
  3. Step 3: Cross multiply
    10,269.60x = 15,418.80 × 6,381.60
  4. Step 4: Simplify right side
    10,269.60x = 98,396,614.08
  5. Step 5: Solve for x
    x = 98,396,614.08/10,269.60
  6. Step 6: Final answer
    x = 9,581.35

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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.