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Finding the Fourth Proportional to 11,922.64, 16,452.75 and 6,888.29

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Solution

The fourth proportional to 11,922.64, 16,452.75 and 6,888.29 is: 9,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.64 : 16,452.75 = 6,888.29 : x
  2. Step 2: Convert to fraction form
    11,922.64/16,452.75 = 6,888.29/x
  3. Step 3: Cross multiply
    11,922.64x = 16,452.75 × 6,888.29
  4. Step 4: Simplify right side
    11,922.64x = 113,331,256.86
  5. Step 5: Solve for x
    x = 113,331,256.86/11,922.64
  6. Step 6: Final answer
    x = 9,505.55

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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.