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Finding the Fourth Proportional to 7,838.44, 10,814.86 and 4,480.04

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Solution

The fourth proportional to 7,838.44, 10,814.86 and 4,480.04 is: 6,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.44 : 10,814.86 = 4,480.04 : x
  2. Step 2: Convert to fraction form
    7,838.44/10,814.86 = 4,480.04/x
  3. Step 3: Cross multiply
    7,838.44x = 10,814.86 × 4,480.04
  4. Step 4: Simplify right side
    7,838.44x = 48,451,005.39
  5. Step 5: Solve for x
    x = 48,451,005.39/7,838.44
  6. Step 6: Final answer
    x = 6,181.21

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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.