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Finding the Fourth Proportional to 7,812.30, 11,718.63 and 2,814.42

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Solution

The fourth proportional to 7,812.30, 11,718.63 and 2,814.42 is: 4,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.30 : 11,718.63 = 2,814.42 : x
  2. Step 2: Convert to fraction form
    7,812.30/11,718.63 = 2,814.42/x
  3. Step 3: Cross multiply
    7,812.30x = 11,718.63 × 2,814.42
  4. Step 4: Simplify right side
    7,812.30x = 32,981,146.64
  5. Step 5: Solve for x
    x = 32,981,146.64/7,812.30
  6. Step 6: Final answer
    x = 4,221.69

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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.