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Finding the Fourth Proportional to 7,836.21, 10,814.02 and 4,251.24

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Solution

The fourth proportional to 7,836.21, 10,814.02 and 4,251.24 is: 5,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.21 : 10,814.02 = 4,251.24 : x
  2. Step 2: Convert to fraction form
    7,836.21/10,814.02 = 4,251.24/x
  3. Step 3: Cross multiply
    7,836.21x = 10,814.02 × 4,251.24
  4. Step 4: Simplify right side
    7,836.21x = 45,972,983.76
  5. Step 5: Solve for x
    x = 45,972,983.76/7,836.21
  6. Step 6: Final answer
    x = 5,866.74

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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.