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Finding the Fourth Proportional to 10,872.72, 16,316.39 and 3,852.71

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Solution

The fourth proportional to 10,872.72, 16,316.39 and 3,852.71 is: 5,781.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.72 : 16,316.39 = 3,852.71 : x
  2. Step 2: Convert to fraction form
    10,872.72/16,316.39 = 3,852.71/x
  3. Step 3: Cross multiply
    10,872.72x = 16,316.39 × 3,852.71
  4. Step 4: Simplify right side
    10,872.72x = 62,862,218.07
  5. Step 5: Solve for x
    x = 62,862,218.07/10,872.72
  6. Step 6: Final answer
    x = 5,781.65

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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.