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Finding the Fourth Proportional to 10,102.92, 15,156.06 and 3,177

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Solution

The fourth proportional to 10,102.92, 15,156.06 and 3,177 is: 4,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.92 : 15,156.06 = 3,177 : x
  2. Step 2: Convert to fraction form
    10,102.92/15,156.06 = 3,177/x
  3. Step 3: Cross multiply
    10,102.92x = 15,156.06 × 3,177
  4. Step 4: Simplify right side
    10,102.92x = 48,150,802.62
  5. Step 5: Solve for x
    x = 48,150,802.62/10,102.92
  6. Step 6: Final answer
    x = 4,766.03

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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.