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Finding the Fourth Proportional to 7,859.36, 11,796.80 and 5,773.52

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Solution

The fourth proportional to 7,859.36, 11,796.80 and 5,773.52 is: 8,665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.36 : 11,796.80 = 5,773.52 : x
  2. Step 2: Convert to fraction form
    7,859.36/11,796.80 = 5,773.52/x
  3. Step 3: Cross multiply
    7,859.36x = 11,796.80 × 5,773.52
  4. Step 4: Simplify right side
    7,859.36x = 68,109,060.74
  5. Step 5: Solve for x
    x = 68,109,060.74/7,859.36
  6. Step 6: Final answer
    x = 8,665.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.