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Finding the Fourth Proportional to 10,193.92, 15,293.28 and 3,173.60

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Solution

The fourth proportional to 10,193.92, 15,293.28 and 3,173.60 is: 4,761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.92 : 15,293.28 = 3,173.60 : x
  2. Step 2: Convert to fraction form
    10,193.92/15,293.28 = 3,173.60/x
  3. Step 3: Cross multiply
    10,193.92x = 15,293.28 × 3,173.60
  4. Step 4: Simplify right side
    10,193.92x = 48,534,753.41
  5. Step 5: Solve for x
    x = 48,534,753.41/10,193.92
  6. Step 6: Final answer
    x = 4,761.15

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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.