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Finding the Fourth Proportional to 11,359.71, 15,676.25 and 6,323.85

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Solution

The fourth proportional to 11,359.71, 15,676.25 and 6,323.85 is: 8,726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359.71 : 15,676.25 = 6,323.85 : x
  2. Step 2: Convert to fraction form
    11,359.71/15,676.25 = 6,323.85/x
  3. Step 3: Cross multiply
    11,359.71x = 15,676.25 × 6,323.85
  4. Step 4: Simplify right side
    11,359.71x = 99,134,221.94
  5. Step 5: Solve for x
    x = 99,134,221.94/11,359.71
  6. Step 6: Final answer
    x = 8,726.83

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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.