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Finding the Fourth Proportional to 11,468.23, 15,826.44 and 6,432.97

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Solution

The fourth proportional to 11,468.23, 15,826.44 and 6,432.97 is: 8,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.23 : 15,826.44 = 6,432.97 : x
  2. Step 2: Convert to fraction form
    11,468.23/15,826.44 = 6,432.97/x
  3. Step 3: Cross multiply
    11,468.23x = 15,826.44 × 6,432.97
  4. Step 4: Simplify right side
    11,468.23x = 101,810,991.77
  5. Step 5: Solve for x
    x = 101,810,991.77/11,468.23
  6. Step 6: Final answer
    x = 8,877.65

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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.