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Finding the Fourth Proportional to 8,386.10, 12,578.38 and 2,838.81

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Solution

The fourth proportional to 8,386.10, 12,578.38 and 2,838.81 is: 4,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.10 : 12,578.38 = 2,838.81 : x
  2. Step 2: Convert to fraction form
    8,386.10/12,578.38 = 2,838.81/x
  3. Step 3: Cross multiply
    8,386.10x = 12,578.38 × 2,838.81
  4. Step 4: Simplify right side
    8,386.10x = 35,707,669.47
  5. Step 5: Solve for x
    x = 35,707,669.47/8,386.10
  6. Step 6: Final answer
    x = 4,257.96

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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.