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Finding the Fourth Proportional to 7,966.87, 10,997.27 and 5,983.16

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Solution

The fourth proportional to 7,966.87, 10,997.27 and 5,983.16 is: 8,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.87 : 10,997.27 = 5,983.16 : x
  2. Step 2: Convert to fraction form
    7,966.87/10,997.27 = 5,983.16/x
  3. Step 3: Cross multiply
    7,966.87x = 10,997.27 × 5,983.16
  4. Step 4: Simplify right side
    7,966.87x = 65,798,425.97
  5. Step 5: Solve for x
    x = 65,798,425.97/7,966.87
  6. Step 6: Final answer
    x = 8,259.01

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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.