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Finding the Fourth Proportional to 7.72, 11.59 and 5.84

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Solution

The fourth proportional to 7.72, 11.59 and 5.84 is: 8.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.72 : 11.59 = 5.84 : x
  2. Step 2: Convert to fraction form
    7.72/11.59 = 5.84/x
  3. Step 3: Cross multiply
    7.72x = 11.59 × 5.84
  4. Step 4: Simplify right side
    7.72x = 67.72
  5. Step 5: Solve for x
    x = 67.72/7.72
  6. Step 6: Final answer
    x = 8.77

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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.