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Finding the Fourth Proportional to 7,754.73, 11,631.13 and 2,489.32

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Solution

The fourth proportional to 7,754.73, 11,631.13 and 2,489.32 is: 3,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.73 : 11,631.13 = 2,489.32 : x
  2. Step 2: Convert to fraction form
    7,754.73/11,631.13 = 2,489.32/x
  3. Step 3: Cross multiply
    7,754.73x = 11,631.13 × 2,489.32
  4. Step 4: Simplify right side
    7,754.73x = 28,953,612.85
  5. Step 5: Solve for x
    x = 28,953,612.85/7,754.73
  6. Step 6: Final answer
    x = 3,733.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.