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Finding the Fourth Proportional to 8,538.55, 11,781.21 and 5,180.70

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Solution

The fourth proportional to 8,538.55, 11,781.21 and 5,180.70 is: 7,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.55 : 11,781.21 = 5,180.70 : x
  2. Step 2: Convert to fraction form
    8,538.55/11,781.21 = 5,180.70/x
  3. Step 3: Cross multiply
    8,538.55x = 11,781.21 × 5,180.70
  4. Step 4: Simplify right side
    8,538.55x = 61,034,914.65
  5. Step 5: Solve for x
    x = 61,034,914.65/8,538.55
  6. Step 6: Final answer
    x = 7,148.16

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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.