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Finding the Fourth Proportional to 7,516.56, 10,371.72 and 4,286.38

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Solution

The fourth proportional to 7,516.56, 10,371.72 and 4,286.38 is: 5,914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,516.56 : 10,371.72 = 4,286.38 : x
  2. Step 2: Convert to fraction form
    7,516.56/10,371.72 = 4,286.38/x
  3. Step 3: Cross multiply
    7,516.56x = 10,371.72 × 4,286.38
  4. Step 4: Simplify right side
    7,516.56x = 44,457,133.17
  5. Step 5: Solve for x
    x = 44,457,133.17/7,516.56
  6. Step 6: Final answer
    x = 5,914.56

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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.