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Finding the Fourth Proportional to 8,540.24, 12,808.92 and 2,696

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Solution

The fourth proportional to 8,540.24, 12,808.92 and 2,696 is: 4,043.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.24 : 12,808.92 = 2,696 : x
  2. Step 2: Convert to fraction form
    8,540.24/12,808.92 = 2,696/x
  3. Step 3: Cross multiply
    8,540.24x = 12,808.92 × 2,696
  4. Step 4: Simplify right side
    8,540.24x = 34,532,848.32
  5. Step 5: Solve for x
    x = 34,532,848.32/8,540.24
  6. Step 6: Final answer
    x = 4,043.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.