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Finding the Fourth Proportional to 10,679.84, 16,029.56 and 5,418.59

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Solution

The fourth proportional to 10,679.84, 16,029.56 and 5,418.59 is: 8,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.84 : 16,029.56 = 5,418.59 : x
  2. Step 2: Convert to fraction form
    10,679.84/16,029.56 = 5,418.59/x
  3. Step 3: Cross multiply
    10,679.84x = 16,029.56 × 5,418.59
  4. Step 4: Simplify right side
    10,679.84x = 86,857,506.28
  5. Step 5: Solve for x
    x = 86,857,506.28/10,679.84
  6. Step 6: Final answer
    x = 8,132.85

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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.