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Finding the Fourth Proportional to 7,069.38, 10,605.69 and 3,952.50

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Solution

The fourth proportional to 7,069.38, 10,605.69 and 3,952.50 is: 5,929.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.38 : 10,605.69 = 3,952.50 : x
  2. Step 2: Convert to fraction form
    7,069.38/10,605.69 = 3,952.50/x
  3. Step 3: Cross multiply
    7,069.38x = 10,605.69 × 3,952.50
  4. Step 4: Simplify right side
    7,069.38x = 41,918,989.73
  5. Step 5: Solve for x
    x = 41,918,989.73/7,069.38
  6. Step 6: Final answer
    x = 5,929.66

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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.