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Finding the Fourth Proportional to 8,482.92, 12,722.52 and 2,638.20

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Solution

The fourth proportional to 8,482.92, 12,722.52 and 2,638.20 is: 3,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.92 : 12,722.52 = 2,638.20 : x
  2. Step 2: Convert to fraction form
    8,482.92/12,722.52 = 2,638.20/x
  3. Step 3: Cross multiply
    8,482.92x = 12,722.52 × 2,638.20
  4. Step 4: Simplify right side
    8,482.92x = 33,564,552.26
  5. Step 5: Solve for x
    x = 33,564,552.26/8,482.92
  6. Step 6: Final answer
    x = 3,956.72

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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.