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Finding the Fourth Proportional to 8,767.72, 13,134.30 and 7,229.80

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Solution

The fourth proportional to 8,767.72, 13,134.30 and 7,229.80 is: 10,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.72 : 13,134.30 = 7,229.80 : x
  2. Step 2: Convert to fraction form
    8,767.72/13,134.30 = 7,229.80/x
  3. Step 3: Cross multiply
    8,767.72x = 13,134.30 × 7,229.80
  4. Step 4: Simplify right side
    8,767.72x = 94,958,362.14
  5. Step 5: Solve for x
    x = 94,958,362.14/8,767.72
  6. Step 6: Final answer
    x = 10,830.45

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