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Finding the Fourth Proportional to 7,790.38, 10,750.32 and 4,252.91

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Solution

The fourth proportional to 7,790.38, 10,750.32 and 4,252.91 is: 5,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.38 : 10,750.32 = 4,252.91 : x
  2. Step 2: Convert to fraction form
    7,790.38/10,750.32 = 4,252.91/x
  3. Step 3: Cross multiply
    7,790.38x = 10,750.32 × 4,252.91
  4. Step 4: Simplify right side
    7,790.38x = 45,720,089.68
  5. Step 5: Solve for x
    x = 45,720,089.68/7,790.38
  6. Step 6: Final answer
    x = 5,868.79

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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.