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Finding the Fourth Proportional to 11,084.38, 15,298.95 and 7,549

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Solution

The fourth proportional to 11,084.38, 15,298.95 and 7,549 is: 10,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,084.38 : 15,298.95 = 7,549 : x
  2. Step 2: Convert to fraction form
    11,084.38/15,298.95 = 7,549/x
  3. Step 3: Cross multiply
    11,084.38x = 15,298.95 × 7,549
  4. Step 4: Simplify right side
    11,084.38x = 115,491,773.55
  5. Step 5: Solve for x
    x = 115,491,773.55/11,084.38
  6. Step 6: Final answer
    x = 10,419.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.