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Finding the Fourth Proportional to 7,865.45, 10,862.10 and 4,882.48

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Solution

The fourth proportional to 7,865.45, 10,862.10 and 4,882.48 is: 6,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.45 : 10,862.10 = 4,882.48 : x
  2. Step 2: Convert to fraction form
    7,865.45/10,862.10 = 4,882.48/x
  3. Step 3: Cross multiply
    7,865.45x = 10,862.10 × 4,882.48
  4. Step 4: Simplify right side
    7,865.45x = 53,033,958.85
  5. Step 5: Solve for x
    x = 53,033,958.85/7,865.45
  6. Step 6: Final answer
    x = 6,742.64

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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.