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Finding the Fourth Proportional to 8,219.80, 12,321.70 and 4,706.20

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Solution

The fourth proportional to 8,219.80, 12,321.70 and 4,706.20 is: 7,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.80 : 12,321.70 = 4,706.20 : x
  2. Step 2: Convert to fraction form
    8,219.80/12,321.70 = 4,706.20/x
  3. Step 3: Cross multiply
    8,219.80x = 12,321.70 × 4,706.20
  4. Step 4: Simplify right side
    8,219.80x = 57,988,384.54
  5. Step 5: Solve for x
    x = 57,988,384.54/8,219.80
  6. Step 6: Final answer
    x = 7,054.72

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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.