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Finding the Fourth Proportional to 7,812.72, 11,718.73 and 2,265.94

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Solution

The fourth proportional to 7,812.72, 11,718.73 and 2,265.94 is: 3,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.72 : 11,718.73 = 2,265.94 : x
  2. Step 2: Convert to fraction form
    7,812.72/11,718.73 = 2,265.94/x
  3. Step 3: Cross multiply
    7,812.72x = 11,718.73 × 2,265.94
  4. Step 4: Simplify right side
    7,812.72x = 26,553,939.06
  5. Step 5: Solve for x
    x = 26,553,939.06/7,812.72
  6. Step 6: Final answer
    x = 3,398.81

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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.