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Finding the Fourth Proportional to 10,314.56, 15,471.78 and 3,389

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Solution

The fourth proportional to 10,314.56, 15,471.78 and 3,389 is: 5,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.56 : 15,471.78 = 3,389 : x
  2. Step 2: Convert to fraction form
    10,314.56/15,471.78 = 3,389/x
  3. Step 3: Cross multiply
    10,314.56x = 15,471.78 × 3,389
  4. Step 4: Simplify right side
    10,314.56x = 52,433,862.42
  5. Step 5: Solve for x
    x = 52,433,862.42/10,314.56
  6. Step 6: Final answer
    x = 5,083.48

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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.