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Finding the Fourth Proportional to 10,872.98, 16,306.05 and 6,706.75

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Solution

The fourth proportional to 10,872.98, 16,306.05 and 6,706.75 is: 10,058.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.98 : 16,306.05 = 6,706.75 : x
  2. Step 2: Convert to fraction form
    10,872.98/16,306.05 = 6,706.75/x
  3. Step 3: Cross multiply
    10,872.98x = 16,306.05 × 6,706.75
  4. Step 4: Simplify right side
    10,872.98x = 109,360,519.31
  5. Step 5: Solve for x
    x = 109,360,519.31/10,872.98
  6. Step 6: Final answer
    x = 10,058.01

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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.