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Finding the Fourth Proportional to 8,047.92, 12,073.72 and 2,853.84

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Solution

The fourth proportional to 8,047.92, 12,073.72 and 2,853.84 is: 4,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.92 : 12,073.72 = 2,853.84 : x
  2. Step 2: Convert to fraction form
    8,047.92/12,073.72 = 2,853.84/x
  3. Step 3: Cross multiply
    8,047.92x = 12,073.72 × 2,853.84
  4. Step 4: Simplify right side
    8,047.92x = 34,456,465.08
  5. Step 5: Solve for x
    x = 34,456,465.08/8,047.92
  6. Step 6: Final answer
    x = 4,281.41

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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.