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Finding the Fourth Proportional to 10,324.22, 14,249.68 and 6,787.76

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Solution

The fourth proportional to 10,324.22, 14,249.68 and 6,787.76 is: 9,368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.22 : 14,249.68 = 6,787.76 : x
  2. Step 2: Convert to fraction form
    10,324.22/14,249.68 = 6,787.76/x
  3. Step 3: Cross multiply
    10,324.22x = 14,249.68 × 6,787.76
  4. Step 4: Simplify right side
    10,324.22x = 96,723,336.67
  5. Step 5: Solve for x
    x = 96,723,336.67/10,324.22
  6. Step 6: Final answer
    x = 9,368.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.