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Finding the Fourth Proportional to 7,422.71, 10,243.31 and 4,065.51

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Solution

The fourth proportional to 7,422.71, 10,243.31 and 4,065.51 is: 5,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.71 : 10,243.31 = 4,065.51 : x
  2. Step 2: Convert to fraction form
    7,422.71/10,243.31 = 4,065.51/x
  3. Step 3: Cross multiply
    7,422.71x = 10,243.31 × 4,065.51
  4. Step 4: Simplify right side
    7,422.71x = 41,644,258.91
  5. Step 5: Solve for x
    x = 41,644,258.91/7,422.71
  6. Step 6: Final answer
    x = 5,610.39

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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.