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Finding the Fourth Proportional to 6,782.40, 10,164.84 and 5,466.76

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Solution

The fourth proportional to 6,782.40, 10,164.84 and 5,466.76 is: 8,193.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.40 : 10,164.84 = 5,466.76 : x
  2. Step 2: Convert to fraction form
    6,782.40/10,164.84 = 5,466.76/x
  3. Step 3: Cross multiply
    6,782.40x = 10,164.84 × 5,466.76
  4. Step 4: Simplify right side
    6,782.40x = 55,568,740.72
  5. Step 5: Solve for x
    x = 55,568,740.72/6,782.40
  6. Step 6: Final answer
    x = 8,193.08

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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.