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Finding the Fourth Proportional to 10,233.88, 15,324.90 and 6,326.44

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Solution

The fourth proportional to 10,233.88, 15,324.90 and 6,326.44 is: 9,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.88 : 15,324.90 = 6,326.44 : x
  2. Step 2: Convert to fraction form
    10,233.88/15,324.90 = 6,326.44/x
  3. Step 3: Cross multiply
    10,233.88x = 15,324.90 × 6,326.44
  4. Step 4: Simplify right side
    10,233.88x = 96,952,060.36
  5. Step 5: Solve for x
    x = 96,952,060.36/10,233.88
  6. Step 6: Final answer
    x = 9,473.64

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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.