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Finding the Fourth Proportional to 8,220.64, 12,330.96 and 7,507.84

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Solution

The fourth proportional to 8,220.64, 12,330.96 and 7,507.84 is: 11,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.64 : 12,330.96 = 7,507.84 : x
  2. Step 2: Convert to fraction form
    8,220.64/12,330.96 = 7,507.84/x
  3. Step 3: Cross multiply
    8,220.64x = 12,330.96 × 7,507.84
  4. Step 4: Simplify right side
    8,220.64x = 92,578,874.73
  5. Step 5: Solve for x
    x = 92,578,874.73/8,220.64
  6. Step 6: Final answer
    x = 11,261.76

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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.