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Finding the Fourth Proportional to 8,233.12, 12,338.16 and 5,913.76

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Solution

The fourth proportional to 8,233.12, 12,338.16 and 5,913.76 is: 8,862.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.12 : 12,338.16 = 5,913.76 : x
  2. Step 2: Convert to fraction form
    8,233.12/12,338.16 = 5,913.76/x
  3. Step 3: Cross multiply
    8,233.12x = 12,338.16 × 5,913.76
  4. Step 4: Simplify right side
    8,233.12x = 72,964,917.08
  5. Step 5: Solve for x
    x = 72,964,917.08/8,233.12
  6. Step 6: Final answer
    x = 8,862.37

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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.