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Finding the Fourth Proportional to 8,185.32, 12,267.74 and 4,287.72

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Solution

The fourth proportional to 8,185.32, 12,267.74 and 4,287.72 is: 6,426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.32 : 12,267.74 = 4,287.72 : x
  2. Step 2: Convert to fraction form
    8,185.32/12,267.74 = 4,287.72/x
  3. Step 3: Cross multiply
    8,185.32x = 12,267.74 × 4,287.72
  4. Step 4: Simplify right side
    8,185.32x = 52,600,634.15
  5. Step 5: Solve for x
    x = 52,600,634.15/8,185.32
  6. Step 6: Final answer
    x = 6,426.22

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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.