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Finding the Fourth Proportional to 7,760.39, 10,708.98 and 4,223.60

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Solution

The fourth proportional to 7,760.39, 10,708.98 and 4,223.60 is: 5,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.39 : 10,708.98 = 4,223.60 : x
  2. Step 2: Convert to fraction form
    7,760.39/10,708.98 = 4,223.60/x
  3. Step 3: Cross multiply
    7,760.39x = 10,708.98 × 4,223.60
  4. Step 4: Simplify right side
    7,760.39x = 45,230,394.38
  5. Step 5: Solve for x
    x = 45,230,394.38/7,760.39
  6. Step 6: Final answer
    x = 5,828.37

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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.