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Finding the Fourth Proportional to 8,222.60, 12,338.38 and 3,027.72

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Solution

The fourth proportional to 8,222.60, 12,338.38 and 3,027.72 is: 4,543.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.60 : 12,338.38 = 3,027.72 : x
  2. Step 2: Convert to fraction form
    8,222.60/12,338.38 = 3,027.72/x
  3. Step 3: Cross multiply
    8,222.60x = 12,338.38 × 3,027.72
  4. Step 4: Simplify right side
    8,222.60x = 37,357,159.89
  5. Step 5: Solve for x
    x = 37,357,159.89/8,222.60
  6. Step 6: Final answer
    x = 4,543.23

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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.