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Finding the Fourth Proportional to 6,930.78, 10,380.60 and 5,359.74

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Solution

The fourth proportional to 6,930.78, 10,380.60 and 5,359.74 is: 8,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.78 : 10,380.60 = 5,359.74 : x
  2. Step 2: Convert to fraction form
    6,930.78/10,380.60 = 5,359.74/x
  3. Step 3: Cross multiply
    6,930.78x = 10,380.60 × 5,359.74
  4. Step 4: Simplify right side
    6,930.78x = 55,637,317.04
  5. Step 5: Solve for x
    x = 55,637,317.04/6,930.78
  6. Step 6: Final answer
    x = 8,027.57

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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.