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Finding the Fourth Proportional to 8,124.29, 12,186.87 and 2,578.08

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Solution

The fourth proportional to 8,124.29, 12,186.87 and 2,578.08 is: 3,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.29 : 12,186.87 = 2,578.08 : x
  2. Step 2: Convert to fraction form
    8,124.29/12,186.87 = 2,578.08/x
  3. Step 3: Cross multiply
    8,124.29x = 12,186.87 × 2,578.08
  4. Step 4: Simplify right side
    8,124.29x = 31,418,725.81
  5. Step 5: Solve for x
    x = 31,418,725.81/8,124.29
  6. Step 6: Final answer
    x = 3,867.26

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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.