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Finding the Fourth Proportional to 7,727.84, 11,591.04 and 2,534

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Solution

The fourth proportional to 7,727.84, 11,591.04 and 2,534 is: 3,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.84 : 11,591.04 = 2,534 : x
  2. Step 2: Convert to fraction form
    7,727.84/11,591.04 = 2,534/x
  3. Step 3: Cross multiply
    7,727.84x = 11,591.04 × 2,534
  4. Step 4: Simplify right side
    7,727.84x = 29,371,695.36
  5. Step 5: Solve for x
    x = 29,371,695.36/7,727.84
  6. Step 6: Final answer
    x = 3,800.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.