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Finding the Fourth Proportional to 7,796.14, 11,695.12 and 2,864.66

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Solution

The fourth proportional to 7,796.14, 11,695.12 and 2,864.66 is: 4,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.14 : 11,695.12 = 2,864.66 : x
  2. Step 2: Convert to fraction form
    7,796.14/11,695.12 = 2,864.66/x
  3. Step 3: Cross multiply
    7,796.14x = 11,695.12 × 2,864.66
  4. Step 4: Simplify right side
    7,796.14x = 33,502,476.82
  5. Step 5: Solve for x
    x = 33,502,476.82/7,796.14
  6. Step 6: Final answer
    x = 4,297.32

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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.