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Finding the Fourth Proportional to 11,529.30, 15,911.94 and 6,494.49

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Solution

The fourth proportional to 11,529.30, 15,911.94 and 6,494.49 is: 8,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529.30 : 15,911.94 = 6,494.49 : x
  2. Step 2: Convert to fraction form
    11,529.30/15,911.94 = 6,494.49/x
  3. Step 3: Cross multiply
    11,529.30x = 15,911.94 × 6,494.49
  4. Step 4: Simplify right side
    11,529.30x = 103,339,860.02
  5. Step 5: Solve for x
    x = 103,339,860.02/11,529.30
  6. Step 6: Final answer
    x = 8,963.24

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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.