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Finding the Fourth Proportional to 8,352.90, 12,535.43 and 6,729.06

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Solution

The fourth proportional to 8,352.90, 12,535.43 and 6,729.06 is: 10,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.90 : 12,535.43 = 6,729.06 : x
  2. Step 2: Convert to fraction form
    8,352.90/12,535.43 = 6,729.06/x
  3. Step 3: Cross multiply
    8,352.90x = 12,535.43 × 6,729.06
  4. Step 4: Simplify right side
    8,352.90x = 84,351,660.60
  5. Step 5: Solve for x
    x = 84,351,660.60/8,352.90
  6. Step 6: Final answer
    x = 10,098.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.