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Finding the Fourth Proportional to 7,997.64, 11,034.52 and 5,165.13

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Solution

The fourth proportional to 7,997.64, 11,034.52 and 5,165.13 is: 7,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.64 : 11,034.52 = 5,165.13 : x
  2. Step 2: Convert to fraction form
    7,997.64/11,034.52 = 5,165.13/x
  3. Step 3: Cross multiply
    7,997.64x = 11,034.52 × 5,165.13
  4. Step 4: Simplify right side
    7,997.64x = 56,994,716.05
  5. Step 5: Solve for x
    x = 56,994,716.05/7,997.64
  6. Step 6: Final answer
    x = 7,126.45

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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.