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Finding the Fourth Proportional to 8.74, 12.06 and 5.10

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Solution

The fourth proportional to 8.74, 12.06 and 5.10 is: 7.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.74 : 12.06 = 5.10 : x
  2. Step 2: Convert to fraction form
    8.74/12.06 = 5.10/x
  3. Step 3: Cross multiply
    8.74x = 12.06 × 5.10
  4. Step 4: Simplify right side
    8.74x = 61.51
  5. Step 5: Solve for x
    x = 61.51/8.74
  6. Step 6: Final answer
    x = 7.04

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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.