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Finding the Fourth Proportional to 8,565, 12,847.22 and 3,881.58

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Solution

The fourth proportional to 8,565, 12,847.22 and 3,881.58 is: 5,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565 : 12,847.22 = 3,881.58 : x
  2. Step 2: Convert to fraction form
    8,565/12,847.22 = 3,881.58/x
  3. Step 3: Cross multiply
    8,565x = 12,847.22 × 3,881.58
  4. Step 4: Simplify right side
    8,565x = 49,867,512.21
  5. Step 5: Solve for x
    x = 49,867,512.21/8,565
  6. Step 6: Final answer
    x = 5,822.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.