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Finding the Fourth Proportional to 7,002.78, 9,663.48 and 3,858.36

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Solution

The fourth proportional to 7,002.78, 9,663.48 and 3,858.36 is: 5,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.78 : 9,663.48 = 3,858.36 : x
  2. Step 2: Convert to fraction form
    7,002.78/9,663.48 = 3,858.36/x
  3. Step 3: Cross multiply
    7,002.78x = 9,663.48 × 3,858.36
  4. Step 4: Simplify right side
    7,002.78x = 37,285,184.69
  5. Step 5: Solve for x
    x = 37,285,184.69/7,002.78
  6. Step 6: Final answer
    x = 5,324.34

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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.