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Finding the Fourth Proportional to 7,836.26, 10,814.01 and 4,299.40

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Solution

The fourth proportional to 7,836.26, 10,814.01 and 4,299.40 is: 5,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.26 : 10,814.01 = 4,299.40 : x
  2. Step 2: Convert to fraction form
    7,836.26/10,814.01 = 4,299.40/x
  3. Step 3: Cross multiply
    7,836.26x = 10,814.01 × 4,299.40
  4. Step 4: Simplify right side
    7,836.26x = 46,493,691.16
  5. Step 5: Solve for x
    x = 46,493,691.16/7,836.26
  6. Step 6: Final answer
    x = 5,933.15

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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.