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Finding the Fourth Proportional to 6,688.80, 10,033.20 and 5,025.60

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Solution

The fourth proportional to 6,688.80, 10,033.20 and 5,025.60 is: 7,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.80 : 10,033.20 = 5,025.60 : x
  2. Step 2: Convert to fraction form
    6,688.80/10,033.20 = 5,025.60/x
  3. Step 3: Cross multiply
    6,688.80x = 10,033.20 × 5,025.60
  4. Step 4: Simplify right side
    6,688.80x = 50,422,849.92
  5. Step 5: Solve for x
    x = 50,422,849.92/6,688.80
  6. Step 6: Final answer
    x = 7,538.40

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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.