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Finding the Fourth Proportional to 10,315.68, 15,471.89 and 3,989.66

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Solution

The fourth proportional to 10,315.68, 15,471.89 and 3,989.66 is: 5,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.68 : 15,471.89 = 3,989.66 : x
  2. Step 2: Convert to fraction form
    10,315.68/15,471.89 = 3,989.66/x
  3. Step 3: Cross multiply
    10,315.68x = 15,471.89 × 3,989.66
  4. Step 4: Simplify right side
    10,315.68x = 61,727,580.66
  5. Step 5: Solve for x
    x = 61,727,580.66/10,315.68
  6. Step 6: Final answer
    x = 5,983.86

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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.