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Finding the Fourth Proportional to 7,642.38, 10,548.73 and 4,990.21

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Solution

The fourth proportional to 7,642.38, 10,548.73 and 4,990.21 is: 6,887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.38 : 10,548.73 = 4,990.21 : x
  2. Step 2: Convert to fraction form
    7,642.38/10,548.73 = 4,990.21/x
  3. Step 3: Cross multiply
    7,642.38x = 10,548.73 × 4,990.21
  4. Step 4: Simplify right side
    7,642.38x = 52,640,357.80
  5. Step 5: Solve for x
    x = 52,640,357.80/7,642.38
  6. Step 6: Final answer
    x = 6,887.95

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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.