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Finding the Fourth Proportional to 6,007.92, 8,289.12 and 4,749.12

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Solution

The fourth proportional to 6,007.92, 8,289.12 and 4,749.12 is: 6,552.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.92 : 8,289.12 = 4,749.12 : x
  2. Step 2: Convert to fraction form
    6,007.92/8,289.12 = 4,749.12/x
  3. Step 3: Cross multiply
    6,007.92x = 8,289.12 × 4,749.12
  4. Step 4: Simplify right side
    6,007.92x = 39,366,025.57
  5. Step 5: Solve for x
    x = 39,366,025.57/6,007.92
  6. Step 6: Final answer
    x = 6,552.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.