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Finding the Fourth Proportional to 7,869.54, 10,862.91 and 5,217.84

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Solution

The fourth proportional to 7,869.54, 10,862.91 and 5,217.84 is: 7,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.54 : 10,862.91 = 5,217.84 : x
  2. Step 2: Convert to fraction form
    7,869.54/10,862.91 = 5,217.84/x
  3. Step 3: Cross multiply
    7,869.54x = 10,862.91 × 5,217.84
  4. Step 4: Simplify right side
    7,869.54x = 56,680,926.31
  5. Step 5: Solve for x
    x = 56,680,926.31/7,869.54
  6. Step 6: Final answer
    x = 7,202.57

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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.