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Finding the Fourth Proportional to 8,181.38, 12,275.72 and 4,284.88

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Solution

The fourth proportional to 8,181.38, 12,275.72 and 4,284.88 is: 6,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.38 : 12,275.72 = 4,284.88 : x
  2. Step 2: Convert to fraction form
    8,181.38/12,275.72 = 4,284.88/x
  3. Step 3: Cross multiply
    8,181.38x = 12,275.72 × 4,284.88
  4. Step 4: Simplify right side
    8,181.38x = 52,599,987.11
  5. Step 5: Solve for x
    x = 52,599,987.11/8,181.38
  6. Step 6: Final answer
    x = 6,429.23

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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.