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Finding the Fourth Proportional to 8.98, 12.36 and 7.82

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Solution

The fourth proportional to 8.98, 12.36 and 7.82 is: 10.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.98 : 12.36 = 7.82 : x
  2. Step 2: Convert to fraction form
    8.98/12.36 = 7.82/x
  3. Step 3: Cross multiply
    8.98x = 12.36 × 7.82
  4. Step 4: Simplify right side
    8.98x = 96.66
  5. Step 5: Solve for x
    x = 96.66/8.98
  6. Step 6: Final answer
    x = 10.76

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