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Finding the Fourth Proportional to 11,432.49, 17,146.97 and 4,411.48

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Solution

The fourth proportional to 11,432.49, 17,146.97 and 4,411.48 is: 6,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.49 : 17,146.97 = 4,411.48 : x
  2. Step 2: Convert to fraction form
    11,432.49/17,146.97 = 4,411.48/x
  3. Step 3: Cross multiply
    11,432.49x = 17,146.97 × 4,411.48
  4. Step 4: Simplify right side
    11,432.49x = 75,643,493.16
  5. Step 5: Solve for x
    x = 75,643,493.16/11,432.49
  6. Step 6: Final answer
    x = 6,616.54

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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.