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Finding the Fourth Proportional to 10,464, 15,696 and 3,882.56

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Solution

The fourth proportional to 10,464, 15,696 and 3,882.56 is: 5,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464 : 15,696 = 3,882.56 : x
  2. Step 2: Convert to fraction form
    10,464/15,696 = 3,882.56/x
  3. Step 3: Cross multiply
    10,464x = 15,696 × 3,882.56
  4. Step 4: Simplify right side
    10,464x = 60,940,661.76
  5. Step 5: Solve for x
    x = 60,940,661.76/10,464
  6. Step 6: Final answer
    x = 5,823.84

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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.