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Finding the Fourth Proportional to 7,600.08, 11,394.62 and 5,128.80

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Solution

The fourth proportional to 7,600.08, 11,394.62 and 5,128.80 is: 7,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.08 : 11,394.62 = 5,128.80 : x
  2. Step 2: Convert to fraction form
    7,600.08/11,394.62 = 5,128.80/x
  3. Step 3: Cross multiply
    7,600.08x = 11,394.62 × 5,128.80
  4. Step 4: Simplify right side
    7,600.08x = 58,440,727.06
  5. Step 5: Solve for x
    x = 58,440,727.06/7,600.08
  6. Step 6: Final answer
    x = 7,689.49

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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.