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Finding the Fourth Proportional to 7,810.64, 11,717.78 and 2,264.09

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Solution

The fourth proportional to 7,810.64, 11,717.78 and 2,264.09 is: 3,396.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.64 : 11,717.78 = 2,264.09 : x
  2. Step 2: Convert to fraction form
    7,810.64/11,717.78 = 2,264.09/x
  3. Step 3: Cross multiply
    7,810.64x = 11,717.78 × 2,264.09
  4. Step 4: Simplify right side
    7,810.64x = 26,530,108.52
  5. Step 5: Solve for x
    x = 26,530,108.52/7,810.64
  6. Step 6: Final answer
    x = 3,396.66

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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.