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Finding the Fourth Proportional to 7,922.72, 11,872.28 and 7,222.56

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Solution

The fourth proportional to 7,922.72, 11,872.28 and 7,222.56 is: 10,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.72 : 11,872.28 = 7,222.56 : x
  2. Step 2: Convert to fraction form
    7,922.72/11,872.28 = 7,222.56/x
  3. Step 3: Cross multiply
    7,922.72x = 11,872.28 × 7,222.56
  4. Step 4: Simplify right side
    7,922.72x = 85,748,254.64
  5. Step 5: Solve for x
    x = 85,748,254.64/7,922.72
  6. Step 6: Final answer
    x = 10,823.08

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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.