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Finding the Fourth Proportional to 7,202.61, 10,805.87 and 2,204.87

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Solution

The fourth proportional to 7,202.61, 10,805.87 and 2,204.87 is: 3,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.61 : 10,805.87 = 2,204.87 : x
  2. Step 2: Convert to fraction form
    7,202.61/10,805.87 = 2,204.87/x
  3. Step 3: Cross multiply
    7,202.61x = 10,805.87 × 2,204.87
  4. Step 4: Simplify right side
    7,202.61x = 23,825,538.59
  5. Step 5: Solve for x
    x = 23,825,538.59/7,202.61
  6. Step 6: Final answer
    x = 3,307.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.