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Finding the Fourth Proportional to 8,078.94, 12,100.59 and 5,882.63

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Solution

The fourth proportional to 8,078.94, 12,100.59 and 5,882.63 is: 8,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.94 : 12,100.59 = 5,882.63 : x
  2. Step 2: Convert to fraction form
    8,078.94/12,100.59 = 5,882.63/x
  3. Step 3: Cross multiply
    8,078.94x = 12,100.59 × 5,882.63
  4. Step 4: Simplify right side
    8,078.94x = 71,183,233.25
  5. Step 5: Solve for x
    x = 71,183,233.25/8,078.94
  6. Step 6: Final answer
    x = 8,810.96

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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.