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Finding the Fourth Proportional to 8,294.74, 12,438.87 and 3,674.50

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Solution

The fourth proportional to 8,294.74, 12,438.87 and 3,674.50 is: 5,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.74 : 12,438.87 = 3,674.50 : x
  2. Step 2: Convert to fraction form
    8,294.74/12,438.87 = 3,674.50/x
  3. Step 3: Cross multiply
    8,294.74x = 12,438.87 × 3,674.50
  4. Step 4: Simplify right side
    8,294.74x = 45,706,627.82
  5. Step 5: Solve for x
    x = 45,706,627.82/8,294.74
  6. Step 6: Final answer
    x = 5,510.31

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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.