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Finding the Fourth Proportional to 7,367.81, 10,166.65 and 4,982.96

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Solution

The fourth proportional to 7,367.81, 10,166.65 and 4,982.96 is: 6,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.81 : 10,166.65 = 4,982.96 : x
  2. Step 2: Convert to fraction form
    7,367.81/10,166.65 = 4,982.96/x
  3. Step 3: Cross multiply
    7,367.81x = 10,166.65 × 4,982.96
  4. Step 4: Simplify right side
    7,367.81x = 50,660,023.24
  5. Step 5: Solve for x
    x = 50,660,023.24/7,367.81
  6. Step 6: Final answer
    x = 6,875.86

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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.