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Finding the Fourth Proportional to 6,814.53, 10,216.13 and 5,934.87

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Solution

The fourth proportional to 6,814.53, 10,216.13 and 5,934.87 is: 8,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.53 : 10,216.13 = 5,934.87 : x
  2. Step 2: Convert to fraction form
    6,814.53/10,216.13 = 5,934.87/x
  3. Step 3: Cross multiply
    6,814.53x = 10,216.13 × 5,934.87
  4. Step 4: Simplify right side
    6,814.53x = 60,631,373.78
  5. Step 5: Solve for x
    x = 60,631,373.78/6,814.53
  6. Step 6: Final answer
    x = 8,897.37

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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.