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Finding the Fourth Proportional to 7,693.20, 11,487.36 and 6,115.44

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Solution

The fourth proportional to 7,693.20, 11,487.36 and 6,115.44 is: 9,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.20 : 11,487.36 = 6,115.44 : x
  2. Step 2: Convert to fraction form
    7,693.20/11,487.36 = 6,115.44/x
  3. Step 3: Cross multiply
    7,693.20x = 11,487.36 × 6,115.44
  4. Step 4: Simplify right side
    7,693.20x = 70,250,260.84
  5. Step 5: Solve for x
    x = 70,250,260.84/7,693.20
  6. Step 6: Final answer
    x = 9,131.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.