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Finding the Fourth Proportional to 7,264.38, 10,027.91 and 4,909.71

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Solution

The fourth proportional to 7,264.38, 10,027.91 and 4,909.71 is: 6,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.38 : 10,027.91 = 4,909.71 : x
  2. Step 2: Convert to fraction form
    7,264.38/10,027.91 = 4,909.71/x
  3. Step 3: Cross multiply
    7,264.38x = 10,027.91 × 4,909.71
  4. Step 4: Simplify right side
    7,264.38x = 49,234,130.01
  5. Step 5: Solve for x
    x = 49,234,130.01/7,264.38
  6. Step 6: Final answer
    x = 6,777.47

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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.