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Finding the Fourth Proportional to 7,829.68, 11,731.92 and 5,356.12

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Solution

The fourth proportional to 7,829.68, 11,731.92 and 5,356.12 is: 8,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.68 : 11,731.92 = 5,356.12 : x
  2. Step 2: Convert to fraction form
    7,829.68/11,731.92 = 5,356.12/x
  3. Step 3: Cross multiply
    7,829.68x = 11,731.92 × 5,356.12
  4. Step 4: Simplify right side
    7,829.68x = 62,837,571.35
  5. Step 5: Solve for x
    x = 62,837,571.35/7,829.68
  6. Step 6: Final answer
    x = 8,025.56

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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.