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Finding the Fourth Proportional to 10,195.92, 15,294.54 and 3,176.58

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Solution

The fourth proportional to 10,195.92, 15,294.54 and 3,176.58 is: 4,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.92 : 15,294.54 = 3,176.58 : x
  2. Step 2: Convert to fraction form
    10,195.92/15,294.54 = 3,176.58/x
  3. Step 3: Cross multiply
    10,195.92x = 15,294.54 × 3,176.58
  4. Step 4: Simplify right side
    10,195.92x = 48,584,329.87
  5. Step 5: Solve for x
    x = 48,584,329.87/10,195.92
  6. Step 6: Final answer
    x = 4,765.08

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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.