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Finding the Fourth Proportional to 8,222.88, 12,335.76 and 2,675.64

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Solution

The fourth proportional to 8,222.88, 12,335.76 and 2,675.64 is: 4,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.88 : 12,335.76 = 2,675.64 : x
  2. Step 2: Convert to fraction form
    8,222.88/12,335.76 = 2,675.64/x
  3. Step 3: Cross multiply
    8,222.88x = 12,335.76 × 2,675.64
  4. Step 4: Simplify right side
    8,222.88x = 33,006,052.89
  5. Step 5: Solve for x
    x = 33,006,052.89/8,222.88
  6. Step 6: Final answer
    x = 4,013.93

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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.