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Finding the Fourth Proportional to 10,871.82, 16,291.77 and 6,424.92

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Solution

The fourth proportional to 10,871.82, 16,291.77 and 6,424.92 is: 9,627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.82 : 16,291.77 = 6,424.92 : x
  2. Step 2: Convert to fraction form
    10,871.82/16,291.77 = 6,424.92/x
  3. Step 3: Cross multiply
    10,871.82x = 16,291.77 × 6,424.92
  4. Step 4: Simplify right side
    10,871.82x = 104,673,318.91
  5. Step 5: Solve for x
    x = 104,673,318.91/10,871.82
  6. Step 6: Final answer
    x = 9,627.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.