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Finding the Fourth Proportional to 8,596.80, 12,895.20 and 4,660.20

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Solution

The fourth proportional to 8,596.80, 12,895.20 and 4,660.20 is: 6,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.80 : 12,895.20 = 4,660.20 : x
  2. Step 2: Convert to fraction form
    8,596.80/12,895.20 = 4,660.20/x
  3. Step 3: Cross multiply
    8,596.80x = 12,895.20 × 4,660.20
  4. Step 4: Simplify right side
    8,596.80x = 60,094,211.04
  5. Step 5: Solve for x
    x = 60,094,211.04/8,596.80
  6. Step 6: Final answer
    x = 6,990.30

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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.