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Finding the Fourth Proportional to 7,867.67, 10,856.73 and 4,882.41

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Solution

The fourth proportional to 7,867.67, 10,856.73 and 4,882.41 is: 6,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.67 : 10,856.73 = 4,882.41 : x
  2. Step 2: Convert to fraction form
    7,867.67/10,856.73 = 4,882.41/x
  3. Step 3: Cross multiply
    7,867.67x = 10,856.73 × 4,882.41
  4. Step 4: Simplify right side
    7,867.67x = 53,007,007.12
  5. Step 5: Solve for x
    x = 53,007,007.12/7,867.67
  6. Step 6: Final answer
    x = 6,737.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.