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Finding the Fourth Proportional to 8,101.92, 11,179.98 and 4,566

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Solution

The fourth proportional to 8,101.92, 11,179.98 and 4,566 is: 6,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.92 : 11,179.98 = 4,566 : x
  2. Step 2: Convert to fraction form
    8,101.92/11,179.98 = 4,566/x
  3. Step 3: Cross multiply
    8,101.92x = 11,179.98 × 4,566
  4. Step 4: Simplify right side
    8,101.92x = 51,047,788.68
  5. Step 5: Solve for x
    x = 51,047,788.68/8,101.92
  6. Step 6: Final answer
    x = 6,300.70

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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.