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Finding the Fourth Proportional to 12,587.88, 17,367.62 and 8,113.16

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Solution

The fourth proportional to 12,587.88, 17,367.62 and 8,113.16 is: 11,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.88 : 17,367.62 = 8,113.16 : x
  2. Step 2: Convert to fraction form
    12,587.88/17,367.62 = 8,113.16/x
  3. Step 3: Cross multiply
    12,587.88x = 17,367.62 × 8,113.16
  4. Step 4: Simplify right side
    12,587.88x = 140,906,279.88
  5. Step 5: Solve for x
    x = 140,906,279.88/12,587.88
  6. Step 6: Final answer
    x = 11,193.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.