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Finding the Fourth Proportional to 10,244.24, 14,134.92 and 6,266.24

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Solution

The fourth proportional to 10,244.24, 14,134.92 and 6,266.24 is: 8,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.24 : 14,134.92 = 6,266.24 : x
  2. Step 2: Convert to fraction form
    10,244.24/14,134.92 = 6,266.24/x
  3. Step 3: Cross multiply
    10,244.24x = 14,134.92 × 6,266.24
  4. Step 4: Simplify right side
    10,244.24x = 88,572,801.10
  5. Step 5: Solve for x
    x = 88,572,801.10/10,244.24
  6. Step 6: Final answer
    x = 8,646.11

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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.