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Finding the Fourth Proportional to 7,812.39, 11,715.87 and 2,264.25

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Solution

The fourth proportional to 7,812.39, 11,715.87 and 2,264.25 is: 3,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.39 : 11,715.87 = 2,264.25 : x
  2. Step 2: Convert to fraction form
    7,812.39/11,715.87 = 2,264.25/x
  3. Step 3: Cross multiply
    7,812.39x = 11,715.87 × 2,264.25
  4. Step 4: Simplify right side
    7,812.39x = 26,527,658.65
  5. Step 5: Solve for x
    x = 26,527,658.65/7,812.39
  6. Step 6: Final answer
    x = 3,395.59

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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.