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Finding the Fourth Proportional to 8,305.96, 11,472.14 and 6,064.24

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Solution

The fourth proportional to 8,305.96, 11,472.14 and 6,064.24 is: 8,375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.96 : 11,472.14 = 6,064.24 : x
  2. Step 2: Convert to fraction form
    8,305.96/11,472.14 = 6,064.24/x
  3. Step 3: Cross multiply
    8,305.96x = 11,472.14 × 6,064.24
  4. Step 4: Simplify right side
    8,305.96x = 69,569,810.27
  5. Step 5: Solve for x
    x = 69,569,810.27/8,305.96
  6. Step 6: Final answer
    x = 8,375.89

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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.