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Finding the Fourth Proportional to 10,589.68, 15,871.69 and 5,904.71

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Solution

The fourth proportional to 10,589.68, 15,871.69 and 5,904.71 is: 8,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.68 : 15,871.69 = 5,904.71 : x
  2. Step 2: Convert to fraction form
    10,589.68/15,871.69 = 5,904.71/x
  3. Step 3: Cross multiply
    10,589.68x = 15,871.69 × 5,904.71
  4. Step 4: Simplify right side
    10,589.68x = 93,717,632.54
  5. Step 5: Solve for x
    x = 93,717,632.54/10,589.68
  6. Step 6: Final answer
    x = 8,849.90

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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.