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Finding the Fourth Proportional to 8,902.65, 13,353.84 and 2,662.50

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Solution

The fourth proportional to 8,902.65, 13,353.84 and 2,662.50 is: 3,993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.65 : 13,353.84 = 2,662.50 : x
  2. Step 2: Convert to fraction form
    8,902.65/13,353.84 = 2,662.50/x
  3. Step 3: Cross multiply
    8,902.65x = 13,353.84 × 2,662.50
  4. Step 4: Simplify right side
    8,902.65x = 35,554,599
  5. Step 5: Solve for x
    x = 35,554,599/8,902.65
  6. Step 6: Final answer
    x = 3,993.71

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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.