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Finding the Fourth Proportional to 6,853.11, 10,254.16 and 6,016.22

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Solution

The fourth proportional to 6,853.11, 10,254.16 and 6,016.22 is: 9,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.11 : 10,254.16 = 6,016.22 : x
  2. Step 2: Convert to fraction form
    6,853.11/10,254.16 = 6,016.22/x
  3. Step 3: Cross multiply
    6,853.11x = 10,254.16 × 6,016.22
  4. Step 4: Simplify right side
    6,853.11x = 61,691,334.86
  5. Step 5: Solve for x
    x = 61,691,334.86/6,853.11
  6. Step 6: Final answer
    x = 9,001.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.