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Finding the Fourth Proportional to 8,531.96, 11,766.74 and 5,546.70

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Solution

The fourth proportional to 8,531.96, 11,766.74 and 5,546.70 is: 7,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.96 : 11,766.74 = 5,546.70 : x
  2. Step 2: Convert to fraction form
    8,531.96/11,766.74 = 5,546.70/x
  3. Step 3: Cross multiply
    8,531.96x = 11,766.74 × 5,546.70
  4. Step 4: Simplify right side
    8,531.96x = 65,266,549.02
  5. Step 5: Solve for x
    x = 65,266,549.02/8,531.96
  6. Step 6: Final answer
    x = 7,649.66

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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.