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Finding the Fourth Proportional to 7,715.84, 11,574.29 and 3,819.20

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Solution

The fourth proportional to 7,715.84, 11,574.29 and 3,819.20 is: 5,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.84 : 11,574.29 = 3,819.20 : x
  2. Step 2: Convert to fraction form
    7,715.84/11,574.29 = 3,819.20/x
  3. Step 3: Cross multiply
    7,715.84x = 11,574.29 × 3,819.20
  4. Step 4: Simplify right side
    7,715.84x = 44,204,451.40
  5. Step 5: Solve for x
    x = 44,204,451.40/7,715.84
  6. Step 6: Final answer
    x = 5,729.06

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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.