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Finding the Fourth Proportional to 8,641.66, 12,986.86 and 5,132.26

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Solution

The fourth proportional to 8,641.66, 12,986.86 and 5,132.26 is: 7,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.66 : 12,986.86 = 5,132.26 : x
  2. Step 2: Convert to fraction form
    8,641.66/12,986.86 = 5,132.26/x
  3. Step 3: Cross multiply
    8,641.66x = 12,986.86 × 5,132.26
  4. Step 4: Simplify right side
    8,641.66x = 66,651,942.10
  5. Step 5: Solve for x
    x = 66,651,942.10/8,641.66
  6. Step 6: Final answer
    x = 7,712.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.