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Finding the Fourth Proportional to 6,810.78, 10,217.04 and 2,428.68

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Solution

The fourth proportional to 6,810.78, 10,217.04 and 2,428.68 is: 3,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.78 : 10,217.04 = 2,428.68 : x
  2. Step 2: Convert to fraction form
    6,810.78/10,217.04 = 2,428.68/x
  3. Step 3: Cross multiply
    6,810.78x = 10,217.04 × 2,428.68
  4. Step 4: Simplify right side
    6,810.78x = 24,813,920.71
  5. Step 5: Solve for x
    x = 24,813,920.71/6,810.78
  6. Step 6: Final answer
    x = 3,643.33

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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.