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Finding the Fourth Proportional to 7,210.78, 10,813.29 and 3,876.46

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Solution

The fourth proportional to 7,210.78, 10,813.29 and 3,876.46 is: 5,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.78 : 10,813.29 = 3,876.46 : x
  2. Step 2: Convert to fraction form
    7,210.78/10,813.29 = 3,876.46/x
  3. Step 3: Cross multiply
    7,210.78x = 10,813.29 × 3,876.46
  4. Step 4: Simplify right side
    7,210.78x = 41,917,286.15
  5. Step 5: Solve for x
    x = 41,917,286.15/7,210.78
  6. Step 6: Final answer
    x = 5,813.14

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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.