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Finding the Fourth Proportional to 10,313.12, 15,471.39 and 3,386

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Solution

The fourth proportional to 10,313.12, 15,471.39 and 3,386 is: 5,079.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.12 : 15,471.39 = 3,386 : x
  2. Step 2: Convert to fraction form
    10,313.12/15,471.39 = 3,386/x
  3. Step 3: Cross multiply
    10,313.12x = 15,471.39 × 3,386
  4. Step 4: Simplify right side
    10,313.12x = 52,386,126.54
  5. Step 5: Solve for x
    x = 52,386,126.54/10,313.12
  6. Step 6: Final answer
    x = 5,079.56

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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.