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Finding the Fourth Proportional to 10,489.91, 14,475.51 and 6,013.44

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Solution

The fourth proportional to 10,489.91, 14,475.51 and 6,013.44 is: 8,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.91 : 14,475.51 = 6,013.44 : x
  2. Step 2: Convert to fraction form
    10,489.91/14,475.51 = 6,013.44/x
  3. Step 3: Cross multiply
    10,489.91x = 14,475.51 × 6,013.44
  4. Step 4: Simplify right side
    10,489.91x = 87,047,610.85
  5. Step 5: Solve for x
    x = 87,047,610.85/10,489.91
  6. Step 6: Final answer
    x = 8,298.23

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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.