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Finding the Fourth Proportional to 7,129.20, 10,002.75 and 7,129.20

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Solution

The fourth proportional to 7,129.20, 10,002.75 and 7,129.20 is: 10,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.20 : 10,002.75 = 7,129.20 : x
  2. Step 2: Convert to fraction form
    7,129.20/10,002.75 = 7,129.20/x
  3. Step 3: Cross multiply
    7,129.20x = 10,002.75 × 7,129.20
  4. Step 4: Simplify right side
    7,129.20x = 71,311,605.30
  5. Step 5: Solve for x
    x = 71,311,605.30/7,129.20
  6. Step 6: Final answer
    x = 10,002.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.