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Finding the Fourth Proportional to 8.64, 11.95 and 6.21

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Solution

The fourth proportional to 8.64, 11.95 and 6.21 is: 8.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.64 : 11.95 = 6.21 : x
  2. Step 2: Convert to fraction form
    8.64/11.95 = 6.21/x
  3. Step 3: Cross multiply
    8.64x = 11.95 × 6.21
  4. Step 4: Simplify right side
    8.64x = 74.19
  5. Step 5: Solve for x
    x = 74.19/8.64
  6. Step 6: Final answer
    x = 8.59

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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.