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Finding the Fourth Proportional to 10,476.74, 15,711.74 and 3,455.17

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Solution

The fourth proportional to 10,476.74, 15,711.74 and 3,455.17 is: 5,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.74 : 15,711.74 = 3,455.17 : x
  2. Step 2: Convert to fraction form
    10,476.74/15,711.74 = 3,455.17/x
  3. Step 3: Cross multiply
    10,476.74x = 15,711.74 × 3,455.17
  4. Step 4: Simplify right side
    10,476.74x = 54,286,760.97
  5. Step 5: Solve for x
    x = 54,286,760.97/10,476.74
  6. Step 6: Final answer
    x = 5,181.65

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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.