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Finding the Fourth Proportional to 7,836.05, 10,814.49 and 4,478.21

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Solution

The fourth proportional to 7,836.05, 10,814.49 and 4,478.21 is: 6,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.05 : 10,814.49 = 4,478.21 : x
  2. Step 2: Convert to fraction form
    7,836.05/10,814.49 = 4,478.21/x
  3. Step 3: Cross multiply
    7,836.05x = 10,814.49 × 4,478.21
  4. Step 4: Simplify right side
    7,836.05x = 48,429,553.99
  5. Step 5: Solve for x
    x = 48,429,553.99/7,836.05
  6. Step 6: Final answer
    x = 6,180.35

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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.