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Finding the Fourth Proportional to 7,810.57, 11,717.59 and 2,264.14

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Solution

The fourth proportional to 7,810.57, 11,717.59 and 2,264.14 is: 3,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.57 : 11,717.59 = 2,264.14 : x
  2. Step 2: Convert to fraction form
    7,810.57/11,717.59 = 2,264.14/x
  3. Step 3: Cross multiply
    7,810.57x = 11,717.59 × 2,264.14
  4. Step 4: Simplify right side
    7,810.57x = 26,530,264.22
  5. Step 5: Solve for x
    x = 26,530,264.22/7,810.57
  6. Step 6: Final answer
    x = 3,396.71

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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.