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Finding the Fourth Proportional to 6,782.40, 10,160.19 and 5,314.68

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Solution

The fourth proportional to 6,782.40, 10,160.19 and 5,314.68 is: 7,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.40 : 10,160.19 = 5,314.68 : x
  2. Step 2: Convert to fraction form
    6,782.40/10,160.19 = 5,314.68/x
  3. Step 3: Cross multiply
    6,782.40x = 10,160.19 × 5,314.68
  4. Step 4: Simplify right side
    6,782.40x = 53,998,158.59
  5. Step 5: Solve for x
    x = 53,998,158.59/6,782.40
  6. Step 6: Final answer
    x = 7,961.51

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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.