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Finding the Fourth Proportional to 11,540.32, 15,926.32 and 6,823.52

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Solution

The fourth proportional to 11,540.32, 15,926.32 and 6,823.52 is: 9,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.32 : 15,926.32 = 6,823.52 : x
  2. Step 2: Convert to fraction form
    11,540.32/15,926.32 = 6,823.52/x
  3. Step 3: Cross multiply
    11,540.32x = 15,926.32 × 6,823.52
  4. Step 4: Simplify right side
    11,540.32x = 108,673,563.05
  5. Step 5: Solve for x
    x = 108,673,563.05/11,540.32
  6. Step 6: Final answer
    x = 9,416.86

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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.