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Finding the Fourth Proportional to 11,422.35, 17,134.18 and 6,456.44

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Solution

The fourth proportional to 11,422.35, 17,134.18 and 6,456.44 is: 9,685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.35 : 17,134.18 = 6,456.44 : x
  2. Step 2: Convert to fraction form
    11,422.35/17,134.18 = 6,456.44/x
  3. Step 3: Cross multiply
    11,422.35x = 17,134.18 × 6,456.44
  4. Step 4: Simplify right side
    11,422.35x = 110,625,831.81
  5. Step 5: Solve for x
    x = 110,625,831.81/11,422.35
  6. Step 6: Final answer
    x = 9,685.03

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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.