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Finding the Fourth Proportional to 7,250.08, 10,006.72 and 4,108

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Solution

The fourth proportional to 7,250.08, 10,006.72 and 4,108 is: 5,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,250.08 : 10,006.72 = 4,108 : x
  2. Step 2: Convert to fraction form
    7,250.08/10,006.72 = 4,108/x
  3. Step 3: Cross multiply
    7,250.08x = 10,006.72 × 4,108
  4. Step 4: Simplify right side
    7,250.08x = 41,107,605.76
  5. Step 5: Solve for x
    x = 41,107,605.76/7,250.08
  6. Step 6: Final answer
    x = 5,669.95

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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.