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Finding the Fourth Proportional to 10,314.13, 15,471.73 and 3,988.99

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Solution

The fourth proportional to 10,314.13, 15,471.73 and 3,988.99 is: 5,983.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.13 : 15,471.73 = 3,988.99 : x
  2. Step 2: Convert to fraction form
    10,314.13/15,471.73 = 3,988.99/x
  3. Step 3: Cross multiply
    10,314.13x = 15,471.73 × 3,988.99
  4. Step 4: Simplify right side
    10,314.13x = 61,716,585.62
  5. Step 5: Solve for x
    x = 61,716,585.62/10,314.13
  6. Step 6: Final answer
    x = 5,983.69

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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.