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Finding the Fourth Proportional to 8,134.72, 12,201.60 and 2,587.84

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Solution

The fourth proportional to 8,134.72, 12,201.60 and 2,587.84 is: 3,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.72 : 12,201.60 = 2,587.84 : x
  2. Step 2: Convert to fraction form
    8,134.72/12,201.60 = 2,587.84/x
  3. Step 3: Cross multiply
    8,134.72x = 12,201.60 × 2,587.84
  4. Step 4: Simplify right side
    8,134.72x = 31,575,788.54
  5. Step 5: Solve for x
    x = 31,575,788.54/8,134.72
  6. Step 6: Final answer
    x = 3,881.61

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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.