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Finding the Fourth Proportional to 8,475.71, 11,694.06 and 4,938.23

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Solution

The fourth proportional to 8,475.71, 11,694.06 and 4,938.23 is: 6,813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.71 : 11,694.06 = 4,938.23 : x
  2. Step 2: Convert to fraction form
    8,475.71/11,694.06 = 4,938.23/x
  3. Step 3: Cross multiply
    8,475.71x = 11,694.06 × 4,938.23
  4. Step 4: Simplify right side
    8,475.71x = 57,747,987.15
  5. Step 5: Solve for x
    x = 57,747,987.15/8,475.71
  6. Step 6: Final answer
    x = 6,813.36

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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.