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Finding the Fourth Proportional to 8,642.65, 11,927.01 and 5,105.86

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Solution

The fourth proportional to 8,642.65, 11,927.01 and 5,105.86 is: 7,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.65 : 11,927.01 = 5,105.86 : x
  2. Step 2: Convert to fraction form
    8,642.65/11,927.01 = 5,105.86/x
  3. Step 3: Cross multiply
    8,642.65x = 11,927.01 × 5,105.86
  4. Step 4: Simplify right side
    8,642.65x = 60,897,626.23
  5. Step 5: Solve for x
    x = 60,897,626.23/8,642.65
  6. Step 6: Final answer
    x = 7,046.18

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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.