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Finding the Fourth Proportional to 8,078.92, 11,148.57 and 4,542.05

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Solution

The fourth proportional to 8,078.92, 11,148.57 and 4,542.05 is: 6,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.92 : 11,148.57 = 4,542.05 : x
  2. Step 2: Convert to fraction form
    8,078.92/11,148.57 = 4,542.05/x
  3. Step 3: Cross multiply
    8,078.92x = 11,148.57 × 4,542.05
  4. Step 4: Simplify right side
    8,078.92x = 50,637,390.24
  5. Step 5: Solve for x
    x = 50,637,390.24/8,078.92
  6. Step 6: Final answer
    x = 6,267.84

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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.