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Finding the Fourth Proportional to 10,589.70, 15,884.55 and 6,711.30

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Solution

The fourth proportional to 10,589.70, 15,884.55 and 6,711.30 is: 10,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.70 : 15,884.55 = 6,711.30 : x
  2. Step 2: Convert to fraction form
    10,589.70/15,884.55 = 6,711.30/x
  3. Step 3: Cross multiply
    10,589.70x = 15,884.55 × 6,711.30
  4. Step 4: Simplify right side
    10,589.70x = 106,605,980.42
  5. Step 5: Solve for x
    x = 106,605,980.42/10,589.70
  6. Step 6: Final answer
    x = 10,066.95

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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.