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Finding the Fourth Proportional to 8,042.25, 12,069.86 and 4,147.77

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Solution

The fourth proportional to 8,042.25, 12,069.86 and 4,147.77 is: 6,225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.25 : 12,069.86 = 4,147.77 : x
  2. Step 2: Convert to fraction form
    8,042.25/12,069.86 = 4,147.77/x
  3. Step 3: Cross multiply
    8,042.25x = 12,069.86 × 4,147.77
  4. Step 4: Simplify right side
    8,042.25x = 50,062,982.47
  5. Step 5: Solve for x
    x = 50,062,982.47/8,042.25
  6. Step 6: Final answer
    x = 6,225.00

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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.