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Finding the Fourth Proportional to 8,587.17, 12,878.19 and 2,742.21

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Solution

The fourth proportional to 8,587.17, 12,878.19 and 2,742.21 is: 4,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.17 : 12,878.19 = 2,742.21 : x
  2. Step 2: Convert to fraction form
    8,587.17/12,878.19 = 2,742.21/x
  3. Step 3: Cross multiply
    8,587.17x = 12,878.19 × 2,742.21
  4. Step 4: Simplify right side
    8,587.17x = 35,314,701.40
  5. Step 5: Solve for x
    x = 35,314,701.40/8,587.17
  6. Step 6: Final answer
    x = 4,112.50

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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.