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Finding the Fourth Proportional to 11,616.32, 17,424.50 and 6,682.88

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Solution

The fourth proportional to 11,616.32, 17,424.50 and 6,682.88 is: 10,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.32 : 17,424.50 = 6,682.88 : x
  2. Step 2: Convert to fraction form
    11,616.32/17,424.50 = 6,682.88/x
  3. Step 3: Cross multiply
    11,616.32x = 17,424.50 × 6,682.88
  4. Step 4: Simplify right side
    11,616.32x = 116,445,842.56
  5. Step 5: Solve for x
    x = 116,445,842.56/11,616.32
  6. Step 6: Final answer
    x = 10,024.33

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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.