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Finding the Fourth Proportional to 8,002.17, 11,047.73 and 5,769.81

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Solution

The fourth proportional to 8,002.17, 11,047.73 and 5,769.81 is: 7,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.17 : 11,047.73 = 5,769.81 : x
  2. Step 2: Convert to fraction form
    8,002.17/11,047.73 = 5,769.81/x
  3. Step 3: Cross multiply
    8,002.17x = 11,047.73 × 5,769.81
  4. Step 4: Simplify right side
    8,002.17x = 63,743,274.18
  5. Step 5: Solve for x
    x = 63,743,274.18/8,002.17
  6. Step 6: Final answer
    x = 7,965.75

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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.