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Finding the Fourth Proportional to 11,776.24, 16,251.16 and 6,740.44

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Solution

The fourth proportional to 11,776.24, 16,251.16 and 6,740.44 is: 9,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.24 : 16,251.16 = 6,740.44 : x
  2. Step 2: Convert to fraction form
    11,776.24/16,251.16 = 6,740.44/x
  3. Step 3: Cross multiply
    11,776.24x = 16,251.16 × 6,740.44
  4. Step 4: Simplify right side
    11,776.24x = 109,539,968.91
  5. Step 5: Solve for x
    x = 109,539,968.91/11,776.24
  6. Step 6: Final answer
    x = 9,301.78

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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.