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Finding the Fourth Proportional to 8,297.23, 11,438.08 and 6,304.33

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Solution

The fourth proportional to 8,297.23, 11,438.08 and 6,304.33 is: 8,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.23 : 11,438.08 = 6,304.33 : x
  2. Step 2: Convert to fraction form
    8,297.23/11,438.08 = 6,304.33/x
  3. Step 3: Cross multiply
    8,297.23x = 11,438.08 × 6,304.33
  4. Step 4: Simplify right side
    8,297.23x = 72,109,430.89
  5. Step 5: Solve for x
    x = 72,109,430.89/8,297.23
  6. Step 6: Final answer
    x = 8,690.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.