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Finding the Fourth Proportional to 8,131.78, 12,205.35 and 5,059.78

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Solution

The fourth proportional to 8,131.78, 12,205.35 and 5,059.78 is: 7,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.78 : 12,205.35 = 5,059.78 : x
  2. Step 2: Convert to fraction form
    8,131.78/12,205.35 = 5,059.78/x
  3. Step 3: Cross multiply
    8,131.78x = 12,205.35 × 5,059.78
  4. Step 4: Simplify right side
    8,131.78x = 61,756,385.82
  5. Step 5: Solve for x
    x = 61,756,385.82/8,131.78
  6. Step 6: Final answer
    x = 7,594.45

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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.