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Finding the Fourth Proportional to 8,584.10, 12,867.31 and 4,878.42

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Solution

The fourth proportional to 8,584.10, 12,867.31 and 4,878.42 is: 7,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.10 : 12,867.31 = 4,878.42 : x
  2. Step 2: Convert to fraction form
    8,584.10/12,867.31 = 4,878.42/x
  3. Step 3: Cross multiply
    8,584.10x = 12,867.31 × 4,878.42
  4. Step 4: Simplify right side
    8,584.10x = 62,772,142.45
  5. Step 5: Solve for x
    x = 62,772,142.45/8,584.10
  6. Step 6: Final answer
    x = 7,312.61

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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.