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Finding the Fourth Proportional to 7,814.66, 11,721.93 and 3,134.60

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Solution

The fourth proportional to 7,814.66, 11,721.93 and 3,134.60 is: 4,701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.66 : 11,721.93 = 3,134.60 : x
  2. Step 2: Convert to fraction form
    7,814.66/11,721.93 = 3,134.60/x
  3. Step 3: Cross multiply
    7,814.66x = 11,721.93 × 3,134.60
  4. Step 4: Simplify right side
    7,814.66x = 36,743,553.00
  5. Step 5: Solve for x
    x = 36,743,553.00/7,814.66
  6. Step 6: Final answer
    x = 4,701.87

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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.