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Finding the Fourth Proportional to 8,222.72, 12,339.54 and 7,675.97

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Solution

The fourth proportional to 8,222.72, 12,339.54 and 7,675.97 is: 11,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.72 : 12,339.54 = 7,675.97 : x
  2. Step 2: Convert to fraction form
    8,222.72/12,339.54 = 7,675.97/x
  3. Step 3: Cross multiply
    8,222.72x = 12,339.54 × 7,675.97
  4. Step 4: Simplify right side
    8,222.72x = 94,717,877.16
  5. Step 5: Solve for x
    x = 94,717,877.16/8,222.72
  6. Step 6: Final answer
    x = 11,519.05

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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.