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Finding the Fourth Proportional to 8,176.68, 11,291.04 and 6,077.16

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Solution

The fourth proportional to 8,176.68, 11,291.04 and 6,077.16 is: 8,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.68 : 11,291.04 = 6,077.16 : x
  2. Step 2: Convert to fraction form
    8,176.68/11,291.04 = 6,077.16/x
  3. Step 3: Cross multiply
    8,176.68x = 11,291.04 × 6,077.16
  4. Step 4: Simplify right side
    8,176.68x = 68,617,456.65
  5. Step 5: Solve for x
    x = 68,617,456.65/8,176.68
  6. Step 6: Final answer
    x = 8,391.85

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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.