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Finding the Fourth Proportional to 8,212.60, 12,320.70 and 2,666.20

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Solution

The fourth proportional to 8,212.60, 12,320.70 and 2,666.20 is: 3,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.60 : 12,320.70 = 2,666.20 : x
  2. Step 2: Convert to fraction form
    8,212.60/12,320.70 = 2,666.20/x
  3. Step 3: Cross multiply
    8,212.60x = 12,320.70 × 2,666.20
  4. Step 4: Simplify right side
    8,212.60x = 32,849,450.34
  5. Step 5: Solve for x
    x = 32,849,450.34/8,212.60
  6. Step 6: Final answer
    x = 3,999.88

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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.