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Finding the Fourth Proportional to 8,211.46, 11,331.14 and 4,854.42

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Solution

The fourth proportional to 8,211.46, 11,331.14 and 4,854.42 is: 6,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.46 : 11,331.14 = 4,854.42 : x
  2. Step 2: Convert to fraction form
    8,211.46/11,331.14 = 4,854.42/x
  3. Step 3: Cross multiply
    8,211.46x = 11,331.14 × 4,854.42
  4. Step 4: Simplify right side
    8,211.46x = 55,006,055.98
  5. Step 5: Solve for x
    x = 55,006,055.98/8,211.46
  6. Step 6: Final answer
    x = 6,698.69

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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.