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Finding the Fourth Proportional to 8,243.54, 12,364.11 and 2,398.58

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Solution

The fourth proportional to 8,243.54, 12,364.11 and 2,398.58 is: 3,597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.54 : 12,364.11 = 2,398.58 : x
  2. Step 2: Convert to fraction form
    8,243.54/12,364.11 = 2,398.58/x
  3. Step 3: Cross multiply
    8,243.54x = 12,364.11 × 2,398.58
  4. Step 4: Simplify right side
    8,243.54x = 29,656,306.96
  5. Step 5: Solve for x
    x = 29,656,306.96/8,243.54
  6. Step 6: Final answer
    x = 3,597.52

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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.