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Finding the Fourth Proportional to 8,184.87, 12,275.70 and 3,187.26

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Solution

The fourth proportional to 8,184.87, 12,275.70 and 3,187.26 is: 4,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.87 : 12,275.70 = 3,187.26 : x
  2. Step 2: Convert to fraction form
    8,184.87/12,275.70 = 3,187.26/x
  3. Step 3: Cross multiply
    8,184.87x = 12,275.70 × 3,187.26
  4. Step 4: Simplify right side
    8,184.87x = 39,125,847.58
  5. Step 5: Solve for x
    x = 39,125,847.58/8,184.87
  6. Step 6: Final answer
    x = 4,780.26

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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.