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Finding the Fourth Proportional to 8,306.96, 11,458.06 and 6,625.40

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Solution

The fourth proportional to 8,306.96, 11,458.06 and 6,625.40 is: 9,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.96 : 11,458.06 = 6,625.40 : x
  2. Step 2: Convert to fraction form
    8,306.96/11,458.06 = 6,625.40/x
  3. Step 3: Cross multiply
    8,306.96x = 11,458.06 × 6,625.40
  4. Step 4: Simplify right side
    8,306.96x = 75,914,156.87
  5. Step 5: Solve for x
    x = 75,914,156.87/8,306.96
  6. Step 6: Final answer
    x = 9,138.63

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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.