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Finding the Fourth Proportional to 8,584.30, 12,876.30 and 2,740.86

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Solution

The fourth proportional to 8,584.30, 12,876.30 and 2,740.86 is: 4,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.30 : 12,876.30 = 2,740.86 : x
  2. Step 2: Convert to fraction form
    8,584.30/12,876.30 = 2,740.86/x
  3. Step 3: Cross multiply
    8,584.30x = 12,876.30 × 2,740.86
  4. Step 4: Simplify right side
    8,584.30x = 35,292,135.62
  5. Step 5: Solve for x
    x = 35,292,135.62/8,584.30
  6. Step 6: Final answer
    x = 4,111.24

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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.