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Finding the Fourth Proportional to 10,511.76, 15,767.76 and 2,614.26

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Solution

The fourth proportional to 10,511.76, 15,767.76 and 2,614.26 is: 3,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.76 : 15,767.76 = 2,614.26 : x
  2. Step 2: Convert to fraction form
    10,511.76/15,767.76 = 2,614.26/x
  3. Step 3: Cross multiply
    10,511.76x = 15,767.76 × 2,614.26
  4. Step 4: Simplify right side
    10,511.76x = 41,221,024.26
  5. Step 5: Solve for x
    x = 41,221,024.26/10,511.76
  6. Step 6: Final answer
    x = 3,921.42

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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.