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Finding the Fourth Proportional to 11,722.92, 16,178.01 and 6,417.73

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Solution

The fourth proportional to 11,722.92, 16,178.01 and 6,417.73 is: 8,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.92 : 16,178.01 = 6,417.73 : x
  2. Step 2: Convert to fraction form
    11,722.92/16,178.01 = 6,417.73/x
  3. Step 3: Cross multiply
    11,722.92x = 16,178.01 × 6,417.73
  4. Step 4: Simplify right side
    11,722.92x = 103,826,100.12
  5. Step 5: Solve for x
    x = 103,826,100.12/11,722.92
  6. Step 6: Final answer
    x = 8,856.68

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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.