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Finding the Fourth Proportional to 7,670.22, 11,502.82 and 2,474.88

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Solution

The fourth proportional to 7,670.22, 11,502.82 and 2,474.88 is: 3,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.22 : 11,502.82 = 2,474.88 : x
  2. Step 2: Convert to fraction form
    7,670.22/11,502.82 = 2,474.88/x
  3. Step 3: Cross multiply
    7,670.22x = 11,502.82 × 2,474.88
  4. Step 4: Simplify right side
    7,670.22x = 28,468,099.16
  5. Step 5: Solve for x
    x = 28,468,099.16/7,670.22
  6. Step 6: Final answer
    x = 3,711.51

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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.