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Finding the Fourth Proportional to 8,137.86, 12,189.51 and 5,506.98

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Solution

The fourth proportional to 8,137.86, 12,189.51 and 5,506.98 is: 8,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.86 : 12,189.51 = 5,506.98 : x
  2. Step 2: Convert to fraction form
    8,137.86/12,189.51 = 5,506.98/x
  3. Step 3: Cross multiply
    8,137.86x = 12,189.51 × 5,506.98
  4. Step 4: Simplify right side
    8,137.86x = 67,127,387.78
  5. Step 5: Solve for x
    x = 67,127,387.78/8,137.86
  6. Step 6: Final answer
    x = 8,248.78

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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.