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Finding the Fourth Proportional to 11,701.08, 16,157.34 and 8,354.16

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Solution

The fourth proportional to 11,701.08, 16,157.34 and 8,354.16 is: 11,535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.08 : 16,157.34 = 8,354.16 : x
  2. Step 2: Convert to fraction form
    11,701.08/16,157.34 = 8,354.16/x
  3. Step 3: Cross multiply
    11,701.08x = 16,157.34 × 8,354.16
  4. Step 4: Simplify right side
    11,701.08x = 134,981,003.53
  5. Step 5: Solve for x
    x = 134,981,003.53/11,701.08
  6. Step 6: Final answer
    x = 11,535.77

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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.