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Finding the Fourth Proportional to 8.37, 11.53 and 8.04

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Solution

The fourth proportional to 8.37, 11.53 and 8.04 is: 11.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.37 : 11.53 = 8.04 : x
  2. Step 2: Convert to fraction form
    8.37/11.53 = 8.04/x
  3. Step 3: Cross multiply
    8.37x = 11.53 × 8.04
  4. Step 4: Simplify right side
    8.37x = 92.70
  5. Step 5: Solve for x
    x = 92.70/8.37
  6. Step 6: Final answer
    x = 11.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.