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Finding the Fourth Proportional to 7,727.99, 10,664.63 and 4,191.17

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Solution

The fourth proportional to 7,727.99, 10,664.63 and 4,191.17 is: 5,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.99 : 10,664.63 = 4,191.17 : x
  2. Step 2: Convert to fraction form
    7,727.99/10,664.63 = 4,191.17/x
  3. Step 3: Cross multiply
    7,727.99x = 10,664.63 × 4,191.17
  4. Step 4: Simplify right side
    7,727.99x = 44,697,203.04
  5. Step 5: Solve for x
    x = 44,697,203.04/7,727.99
  6. Step 6: Final answer
    x = 5,783.81

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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.