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Finding the Fourth Proportional to 10,122.75, 15,184.13 and 3,966.75

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Solution

The fourth proportional to 10,122.75, 15,184.13 and 3,966.75 is: 5,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.75 : 15,184.13 = 3,966.75 : x
  2. Step 2: Convert to fraction form
    10,122.75/15,184.13 = 3,966.75/x
  3. Step 3: Cross multiply
    10,122.75x = 15,184.13 × 3,966.75
  4. Step 4: Simplify right side
    10,122.75x = 60,231,627.84
  5. Step 5: Solve for x
    x = 60,231,627.84/10,122.75
  6. Step 6: Final answer
    x = 5,950.13

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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.