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Finding the Fourth Proportional to 7,965.38, 10,978.67 and 5,443.11

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Solution

The fourth proportional to 7,965.38, 10,978.67 and 5,443.11 is: 7,502.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.38 : 10,978.67 = 5,443.11 : x
  2. Step 2: Convert to fraction form
    7,965.38/10,978.67 = 5,443.11/x
  3. Step 3: Cross multiply
    7,965.38x = 10,978.67 × 5,443.11
  4. Step 4: Simplify right side
    7,965.38x = 59,758,108.46
  5. Step 5: Solve for x
    x = 59,758,108.46/7,965.38
  6. Step 6: Final answer
    x = 7,502.23

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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.