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Finding the Fourth Proportional to 8,325.25, 11,489.36 and 4,788.38

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Solution

The fourth proportional to 8,325.25, 11,489.36 and 4,788.38 is: 6,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325.25 : 11,489.36 = 4,788.38 : x
  2. Step 2: Convert to fraction form
    8,325.25/11,489.36 = 4,788.38/x
  3. Step 3: Cross multiply
    8,325.25x = 11,489.36 × 4,788.38
  4. Step 4: Simplify right side
    8,325.25x = 55,015,426.42
  5. Step 5: Solve for x
    x = 55,015,426.42/8,325.25
  6. Step 6: Final answer
    x = 6,608.26

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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.