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Finding the Fourth Proportional to 8,435.79, 11,642.38 and 7,016.97

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Solution

The fourth proportional to 8,435.79, 11,642.38 and 7,016.97 is: 9,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.79 : 11,642.38 = 7,016.97 : x
  2. Step 2: Convert to fraction form
    8,435.79/11,642.38 = 7,016.97/x
  3. Step 3: Cross multiply
    8,435.79x = 11,642.38 × 7,016.97
  4. Step 4: Simplify right side
    8,435.79x = 81,694,257.31
  5. Step 5: Solve for x
    x = 81,694,257.31/8,435.79
  6. Step 6: Final answer
    x = 9,684.25

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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.