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Finding the Fourth Proportional to 10,589.60, 15,884.76 and 5,043.56

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Solution

The fourth proportional to 10,589.60, 15,884.76 and 5,043.56 is: 7,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.60 : 15,884.76 = 5,043.56 : x
  2. Step 2: Convert to fraction form
    10,589.60/15,884.76 = 5,043.56/x
  3. Step 3: Cross multiply
    10,589.60x = 15,884.76 × 5,043.56
  4. Step 4: Simplify right side
    10,589.60x = 80,115,740.15
  5. Step 5: Solve for x
    x = 80,115,740.15/10,589.60
  6. Step 6: Final answer
    x = 7,565.51

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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.