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Finding the Fourth Proportional to 10,872.81, 16,304.08 and 4,212.43

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Solution

The fourth proportional to 10,872.81, 16,304.08 and 4,212.43 is: 6,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.81 : 16,304.08 = 4,212.43 : x
  2. Step 2: Convert to fraction form
    10,872.81/16,304.08 = 4,212.43/x
  3. Step 3: Cross multiply
    10,872.81x = 16,304.08 × 4,212.43
  4. Step 4: Simplify right side
    10,872.81x = 68,679,693.13
  5. Step 5: Solve for x
    x = 68,679,693.13/10,872.81
  6. Step 6: Final answer
    x = 6,316.65

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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.