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Finding the Fourth Proportional to 6,876.29, 10,305.12 and 3,582.63

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Solution

The fourth proportional to 6,876.29, 10,305.12 and 3,582.63 is: 5,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.29 : 10,305.12 = 3,582.63 : x
  2. Step 2: Convert to fraction form
    6,876.29/10,305.12 = 3,582.63/x
  3. Step 3: Cross multiply
    6,876.29x = 10,305.12 × 3,582.63
  4. Step 4: Simplify right side
    6,876.29x = 36,919,445.50
  5. Step 5: Solve for x
    x = 36,919,445.50/6,876.29
  6. Step 6: Final answer
    x = 5,369.09

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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.