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Finding the Fourth Proportional to 7,814.30, 11,711.26 and 6,824.76

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Solution

The fourth proportional to 7,814.30, 11,711.26 and 6,824.76 is: 10,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.30 : 11,711.26 = 6,824.76 : x
  2. Step 2: Convert to fraction form
    7,814.30/11,711.26 = 6,824.76/x
  3. Step 3: Cross multiply
    7,814.30x = 11,711.26 × 6,824.76
  4. Step 4: Simplify right side
    7,814.30x = 79,926,530.90
  5. Step 5: Solve for x
    x = 79,926,530.90/7,814.30
  6. Step 6: Final answer
    x = 10,228.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.