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Finding the Fourth Proportional to 10,563.28, 14,576.22 and 6,086.14

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Solution

The fourth proportional to 10,563.28, 14,576.22 and 6,086.14 is: 8,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.28 : 14,576.22 = 6,086.14 : x
  2. Step 2: Convert to fraction form
    10,563.28/14,576.22 = 6,086.14/x
  3. Step 3: Cross multiply
    10,563.28x = 14,576.22 × 6,086.14
  4. Step 4: Simplify right side
    10,563.28x = 88,712,915.59
  5. Step 5: Solve for x
    x = 88,712,915.59/10,563.28
  6. Step 6: Final answer
    x = 8,398.24

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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.