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Finding the Fourth Proportional to 7,076.77, 9,765.47 and 3,890

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Solution

The fourth proportional to 7,076.77, 9,765.47 and 3,890 is: 5,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.77 : 9,765.47 = 3,890 : x
  2. Step 2: Convert to fraction form
    7,076.77/9,765.47 = 3,890/x
  3. Step 3: Cross multiply
    7,076.77x = 9,765.47 × 3,890
  4. Step 4: Simplify right side
    7,076.77x = 37,987,678.30
  5. Step 5: Solve for x
    x = 37,987,678.30/7,076.77
  6. Step 6: Final answer
    x = 5,367.94

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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.