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Finding the Fourth Proportional to 11,546.42, 15,934.14 and 6,241.22

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Solution

The fourth proportional to 11,546.42, 15,934.14 and 6,241.22 is: 8,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.42 : 15,934.14 = 6,241.22 : x
  2. Step 2: Convert to fraction form
    11,546.42/15,934.14 = 6,241.22/x
  3. Step 3: Cross multiply
    11,546.42x = 15,934.14 × 6,241.22
  4. Step 4: Simplify right side
    11,546.42x = 99,448,473.25
  5. Step 5: Solve for x
    x = 99,448,473.25/11,546.42
  6. Step 6: Final answer
    x = 8,612.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.