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Finding the Fourth Proportional to 7,727.64, 10,664.28 and 4,191

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Solution

The fourth proportional to 7,727.64, 10,664.28 and 4,191 is: 5,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.64 : 10,664.28 = 4,191 : x
  2. Step 2: Convert to fraction form
    7,727.64/10,664.28 = 4,191/x
  3. Step 3: Cross multiply
    7,727.64x = 10,664.28 × 4,191
  4. Step 4: Simplify right side
    7,727.64x = 44,693,997.48
  5. Step 5: Solve for x
    x = 44,693,997.48/7,727.64
  6. Step 6: Final answer
    x = 5,783.65

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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.