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Finding the Fourth Proportional to 11,535.58, 15,919.92 and 6,431.89

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Solution

The fourth proportional to 11,535.58, 15,919.92 and 6,431.89 is: 8,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.58 : 15,919.92 = 6,431.89 : x
  2. Step 2: Convert to fraction form
    11,535.58/15,919.92 = 6,431.89/x
  3. Step 3: Cross multiply
    11,535.58x = 15,919.92 × 6,431.89
  4. Step 4: Simplify right side
    11,535.58x = 102,395,174.25
  5. Step 5: Solve for x
    x = 102,395,174.25/11,535.58
  6. Step 6: Final answer
    x = 8,876.47

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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.