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Finding the Fourth Proportional to 8,537.54, 11,781.86 and 5,000.77

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Solution

The fourth proportional to 8,537.54, 11,781.86 and 5,000.77 is: 6,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.54 : 11,781.86 = 5,000.77 : x
  2. Step 2: Convert to fraction form
    8,537.54/11,781.86 = 5,000.77/x
  3. Step 3: Cross multiply
    8,537.54x = 11,781.86 × 5,000.77
  4. Step 4: Simplify right side
    8,537.54x = 58,918,361.76
  5. Step 5: Solve for x
    x = 58,918,361.76/8,537.54
  6. Step 6: Final answer
    x = 6,901.10

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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.