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Finding the Fourth Proportional to 8,537.10, 11,781.98 and 5,180.77

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Solution

The fourth proportional to 8,537.10, 11,781.98 and 5,180.77 is: 7,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.10 : 11,781.98 = 5,180.77 : x
  2. Step 2: Convert to fraction form
    8,537.10/11,781.98 = 5,180.77/x
  3. Step 3: Cross multiply
    8,537.10x = 11,781.98 × 5,180.77
  4. Step 4: Simplify right side
    8,537.10x = 61,039,728.52
  5. Step 5: Solve for x
    x = 61,039,728.52/8,537.10
  6. Step 6: Final answer
    x = 7,149.94

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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.