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Finding the Fourth Proportional to 10,325.28, 14,246 and 6,344.88

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Solution

The fourth proportional to 10,325.28, 14,246 and 6,344.88 is: 8,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.28 : 14,246 = 6,344.88 : x
  2. Step 2: Convert to fraction form
    10,325.28/14,246 = 6,344.88/x
  3. Step 3: Cross multiply
    10,325.28x = 14,246 × 6,344.88
  4. Step 4: Simplify right side
    10,325.28x = 90,389,160.48
  5. Step 5: Solve for x
    x = 90,389,160.48/10,325.28
  6. Step 6: Final answer
    x = 8,754.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.