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Finding the Fourth Proportional to 11,796.12, 17,695.34 and 4,398.86

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Solution

The fourth proportional to 11,796.12, 17,695.34 and 4,398.86 is: 6,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.12 : 17,695.34 = 4,398.86 : x
  2. Step 2: Convert to fraction form
    11,796.12/17,695.34 = 4,398.86/x
  3. Step 3: Cross multiply
    11,796.12x = 17,695.34 × 4,398.86
  4. Step 4: Simplify right side
    11,796.12x = 77,839,323.31
  5. Step 5: Solve for x
    x = 77,839,323.31/11,796.12
  6. Step 6: Final answer
    x = 6,598.72

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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.