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Finding the Fourth Proportional to 6,852.66, 10,269.96 and 3,101.64

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Solution

The fourth proportional to 6,852.66, 10,269.96 and 3,101.64 is: 4,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.66 : 10,269.96 = 3,101.64 : x
  2. Step 2: Convert to fraction form
    6,852.66/10,269.96 = 3,101.64/x
  3. Step 3: Cross multiply
    6,852.66x = 10,269.96 × 3,101.64
  4. Step 4: Simplify right side
    6,852.66x = 31,853,718.73
  5. Step 5: Solve for x
    x = 31,853,718.73/6,852.66
  6. Step 6: Final answer
    x = 4,648.37

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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.