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Finding the Fourth Proportional to 10,232.96, 15,352.68 and 3,659

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Solution

The fourth proportional to 10,232.96, 15,352.68 and 3,659 is: 5,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.96 : 15,352.68 = 3,659 : x
  2. Step 2: Convert to fraction form
    10,232.96/15,352.68 = 3,659/x
  3. Step 3: Cross multiply
    10,232.96x = 15,352.68 × 3,659
  4. Step 4: Simplify right side
    10,232.96x = 56,175,456.12
  5. Step 5: Solve for x
    x = 56,175,456.12/10,232.96
  6. Step 6: Final answer
    x = 5,489.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.