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Finding the Fourth Proportional to 7,205,257.56, 9,941,940.90 and 4,107,649.08

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Solution

The fourth proportional to 7,205,257.56, 9,941,940.90 and 4,107,649.08 is: 5,667,806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205,257.56 : 9,941,940.90 = 4,107,649.08 : x
  2. Step 2: Convert to fraction form
    7,205,257.56/9,941,940.90 = 4,107,649.08/x
  3. Step 3: Cross multiply
    7,205,257.56x = 9,941,940.90 × 4,107,649.08
  4. Step 4: Simplify right side
    7,205,257.56x = 40,838,004,391,299.38
  5. Step 5: Solve for x
    x = 40,838,004,391,299.38/7,205,257.56
  6. Step 6: Final answer
    x = 5,667,806.33

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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.