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Finding the Fourth Proportional to 5,120.32, 7,059.12 and 5,009.92

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Solution

The fourth proportional to 5,120.32, 7,059.12 and 5,009.92 is: 6,906.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.32 : 7,059.12 = 5,009.92 : x
  2. Step 2: Convert to fraction form
    5,120.32/7,059.12 = 5,009.92/x
  3. Step 3: Cross multiply
    5,120.32x = 7,059.12 × 5,009.92
  4. Step 4: Simplify right side
    5,120.32x = 35,365,626.47
  5. Step 5: Solve for x
    x = 35,365,626.47/5,120.32
  6. Step 6: Final answer
    x = 6,906.92

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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.