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Finding the Fourth Proportional to 11,898.32, 16,403.18 and 8,535.20

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Solution

The fourth proportional to 11,898.32, 16,403.18 and 8,535.20 is: 11,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.32 : 16,403.18 = 8,535.20 : x
  2. Step 2: Convert to fraction form
    11,898.32/16,403.18 = 8,535.20/x
  3. Step 3: Cross multiply
    11,898.32x = 16,403.18 × 8,535.20
  4. Step 4: Simplify right side
    11,898.32x = 140,004,297.24
  5. Step 5: Solve for x
    x = 140,004,297.24/11,898.32
  6. Step 6: Final answer
    x = 11,766.73

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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.