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Finding the Fourth Proportional to 7,608.40, 11,412.60 and 3,225.04

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Solution

The fourth proportional to 7,608.40, 11,412.60 and 3,225.04 is: 4,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.40 : 11,412.60 = 3,225.04 : x
  2. Step 2: Convert to fraction form
    7,608.40/11,412.60 = 3,225.04/x
  3. Step 3: Cross multiply
    7,608.40x = 11,412.60 × 3,225.04
  4. Step 4: Simplify right side
    7,608.40x = 36,806,091.50
  5. Step 5: Solve for x
    x = 36,806,091.50/7,608.40
  6. Step 6: Final answer
    x = 4,837.56

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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.