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Finding the Fourth Proportional to 11,524.64, 15,906 and 6,809.12

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Solution

The fourth proportional to 11,524.64, 15,906 and 6,809.12 is: 9,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.64 : 15,906 = 6,809.12 : x
  2. Step 2: Convert to fraction form
    11,524.64/15,906 = 6,809.12/x
  3. Step 3: Cross multiply
    11,524.64x = 15,906 × 6,809.12
  4. Step 4: Simplify right side
    11,524.64x = 108,305,862.72
  5. Step 5: Solve for x
    x = 108,305,862.72/11,524.64
  6. Step 6: Final answer
    x = 9,397.77

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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.