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Finding the Fourth Proportional to 7,527.28, 10,388.86 and 4,882.38

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Solution

The fourth proportional to 7,527.28, 10,388.86 and 4,882.38 is: 6,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.28 : 10,388.86 = 4,882.38 : x
  2. Step 2: Convert to fraction form
    7,527.28/10,388.86 = 4,882.38/x
  3. Step 3: Cross multiply
    7,527.28x = 10,388.86 × 4,882.38
  4. Step 4: Simplify right side
    7,527.28x = 50,722,311.12
  5. Step 5: Solve for x
    x = 50,722,311.12/7,527.28
  6. Step 6: Final answer
    x = 6,738.47

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Why These Related Problems?

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