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Finding the Fourth Proportional to 10,982.66, 15,155.82 and 6,266.84

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Solution

The fourth proportional to 10,982.66, 15,155.82 and 6,266.84 is: 8,648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.66 : 15,155.82 = 6,266.84 : x
  2. Step 2: Convert to fraction form
    10,982.66/15,155.82 = 6,266.84/x
  3. Step 3: Cross multiply
    10,982.66x = 15,155.82 × 6,266.84
  4. Step 4: Simplify right side
    10,982.66x = 94,979,023.23
  5. Step 5: Solve for x
    x = 94,979,023.23/10,982.66
  6. Step 6: Final answer
    x = 8,648.09

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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.