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Finding the Fourth Proportional to 11,907.91, 16,429.62 and 6,871.78

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Solution

The fourth proportional to 11,907.91, 16,429.62 and 6,871.78 is: 9,481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.91 : 16,429.62 = 6,871.78 : x
  2. Step 2: Convert to fraction form
    11,907.91/16,429.62 = 6,871.78/x
  3. Step 3: Cross multiply
    11,907.91x = 16,429.62 × 6,871.78
  4. Step 4: Simplify right side
    11,907.91x = 112,900,734.12
  5. Step 5: Solve for x
    x = 112,900,734.12/11,907.91
  6. Step 6: Final answer
    x = 9,481.15

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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.