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Finding the Fourth Proportional to 7,864.40, 11,796.24 and 2,670.24

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Solution

The fourth proportional to 7,864.40, 11,796.24 and 2,670.24 is: 4,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.40 : 11,796.24 = 2,670.24 : x
  2. Step 2: Convert to fraction form
    7,864.40/11,796.24 = 2,670.24/x
  3. Step 3: Cross multiply
    7,864.40x = 11,796.24 × 2,670.24
  4. Step 4: Simplify right side
    7,864.40x = 31,498,791.90
  5. Step 5: Solve for x
    x = 31,498,791.90/7,864.40
  6. Step 6: Final answer
    x = 4,005.24

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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.