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Finding the Fourth Proportional to 7,914.30, 10,910.07 and 5,814.78

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Solution

The fourth proportional to 7,914.30, 10,910.07 and 5,814.78 is: 8,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.30 : 10,910.07 = 5,814.78 : x
  2. Step 2: Convert to fraction form
    7,914.30/10,910.07 = 5,814.78/x
  3. Step 3: Cross multiply
    7,914.30x = 10,910.07 × 5,814.78
  4. Step 4: Simplify right side
    7,914.30x = 63,439,656.83
  5. Step 5: Solve for x
    x = 63,439,656.83/7,914.30
  6. Step 6: Final answer
    x = 8,015.83

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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.