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Finding the Fourth Proportional to 11,529.73, 15,911.07 and 6,494.02

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Solution

The fourth proportional to 11,529.73, 15,911.07 and 6,494.02 is: 8,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529.73 : 15,911.07 = 6,494.02 : x
  2. Step 2: Convert to fraction form
    11,529.73/15,911.07 = 6,494.02/x
  3. Step 3: Cross multiply
    11,529.73x = 15,911.07 × 6,494.02
  4. Step 4: Simplify right side
    11,529.73x = 103,326,832.17
  5. Step 5: Solve for x
    x = 103,326,832.17/11,529.73
  6. Step 6: Final answer
    x = 8,961.78

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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.