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Finding the Fourth Proportional to 8,587.42, 12,878.39 and 2,742.66

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Solution

The fourth proportional to 8,587.42, 12,878.39 and 2,742.66 is: 4,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.42 : 12,878.39 = 2,742.66 : x
  2. Step 2: Convert to fraction form
    8,587.42/12,878.39 = 2,742.66/x
  3. Step 3: Cross multiply
    8,587.42x = 12,878.39 × 2,742.66
  4. Step 4: Simplify right side
    8,587.42x = 35,321,051.97
  5. Step 5: Solve for x
    x = 35,321,051.97/8,587.42
  6. Step 6: Final answer
    x = 4,113.12

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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.