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Finding the Fourth Proportional to 8,386.16, 12,578.88 and 2,146.34

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Solution

The fourth proportional to 8,386.16, 12,578.88 and 2,146.34 is: 3,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.16 : 12,578.88 = 2,146.34 : x
  2. Step 2: Convert to fraction form
    8,386.16/12,578.88 = 2,146.34/x
  3. Step 3: Cross multiply
    8,386.16x = 12,578.88 × 2,146.34
  4. Step 4: Simplify right side
    8,386.16x = 26,998,553.30
  5. Step 5: Solve for x
    x = 26,998,553.30/8,386.16
  6. Step 6: Final answer
    x = 3,219.42

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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.