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Finding the Fourth Proportional to 7,473.89, 10,306.95 and 5,589.83

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Solution

The fourth proportional to 7,473.89, 10,306.95 and 5,589.83 is: 7,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.89 : 10,306.95 = 5,589.83 : x
  2. Step 2: Convert to fraction form
    7,473.89/10,306.95 = 5,589.83/x
  3. Step 3: Cross multiply
    7,473.89x = 10,306.95 × 5,589.83
  4. Step 4: Simplify right side
    7,473.89x = 57,614,103.12
  5. Step 5: Solve for x
    x = 57,614,103.12/7,473.89
  6. Step 6: Final answer
    x = 7,708.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.