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Finding the Fourth Proportional to 7,789.49, 10,749.07 and 4,252.62

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Solution

The fourth proportional to 7,789.49, 10,749.07 and 4,252.62 is: 5,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.49 : 10,749.07 = 4,252.62 : x
  2. Step 2: Convert to fraction form
    7,789.49/10,749.07 = 4,252.62/x
  3. Step 3: Cross multiply
    7,789.49x = 10,749.07 × 4,252.62
  4. Step 4: Simplify right side
    7,789.49x = 45,711,710.06
  5. Step 5: Solve for x
    x = 45,711,710.06/7,789.49
  6. Step 6: Final answer
    x = 5,868.38

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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.