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Finding the Fourth Proportional to 8,011.96, 11,048.02 and 5,497.75

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Solution

The fourth proportional to 8,011.96, 11,048.02 and 5,497.75 is: 7,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.96 : 11,048.02 = 5,497.75 : x
  2. Step 2: Convert to fraction form
    8,011.96/11,048.02 = 5,497.75/x
  3. Step 3: Cross multiply
    8,011.96x = 11,048.02 × 5,497.75
  4. Step 4: Simplify right side
    8,011.96x = 60,739,251.96
  5. Step 5: Solve for x
    x = 60,739,251.96/8,011.96
  6. Step 6: Final answer
    x = 7,581.07

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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.