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Finding the Fourth Proportional to 10,171.84, 15,244.17 and 4,321.12

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Solution

The fourth proportional to 10,171.84, 15,244.17 and 4,321.12 is: 6,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.84 : 15,244.17 = 4,321.12 : x
  2. Step 2: Convert to fraction form
    10,171.84/15,244.17 = 4,321.12/x
  3. Step 3: Cross multiply
    10,171.84x = 15,244.17 × 4,321.12
  4. Step 4: Simplify right side
    10,171.84x = 65,871,887.87
  5. Step 5: Solve for x
    x = 65,871,887.87/10,171.84
  6. Step 6: Final answer
    x = 6,475.91

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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.