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Finding the Fourth Proportional to 7.77, 11.66 and 5.76

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Solution

The fourth proportional to 7.77, 11.66 and 5.76 is: 8.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.77 : 11.66 = 5.76 : x
  2. Step 2: Convert to fraction form
    7.77/11.66 = 5.76/x
  3. Step 3: Cross multiply
    7.77x = 11.66 × 5.76
  4. Step 4: Simplify right side
    7.77x = 67.13
  5. Step 5: Solve for x
    x = 67.13/7.77
  6. Step 6: Final answer
    x = 8.64

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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.