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Finding the Fourth Proportional to 7,767.22, 10,721.85 and 5,410.66

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Solution

The fourth proportional to 7,767.22, 10,721.85 and 5,410.66 is: 7,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.22 : 10,721.85 = 5,410.66 : x
  2. Step 2: Convert to fraction form
    7,767.22/10,721.85 = 5,410.66/x
  3. Step 3: Cross multiply
    7,767.22x = 10,721.85 × 5,410.66
  4. Step 4: Simplify right side
    7,767.22x = 58,012,284.92
  5. Step 5: Solve for x
    x = 58,012,284.92/7,767.22
  6. Step 6: Final answer
    x = 7,468.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.