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Finding the Fourth Proportional to 8,091.89, 12,138.14 and 2,897.76

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Solution

The fourth proportional to 8,091.89, 12,138.14 and 2,897.76 is: 4,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.89 : 12,138.14 = 2,897.76 : x
  2. Step 2: Convert to fraction form
    8,091.89/12,138.14 = 2,897.76/x
  3. Step 3: Cross multiply
    8,091.89x = 12,138.14 × 2,897.76
  4. Step 4: Simplify right side
    8,091.89x = 35,173,416.57
  5. Step 5: Solve for x
    x = 35,173,416.57/8,091.89
  6. Step 6: Final answer
    x = 4,346.75

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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.