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Finding the Fourth Proportional to 10,177.17, 15,265.77 and 4,979.40

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Solution

The fourth proportional to 10,177.17, 15,265.77 and 4,979.40 is: 7,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.17 : 15,265.77 = 4,979.40 : x
  2. Step 2: Convert to fraction form
    10,177.17/15,265.77 = 4,979.40/x
  3. Step 3: Cross multiply
    10,177.17x = 15,265.77 × 4,979.40
  4. Step 4: Simplify right side
    10,177.17x = 76,014,375.14
  5. Step 5: Solve for x
    x = 76,014,375.14/10,177.17
  6. Step 6: Final answer
    x = 7,469.11

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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.