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Finding the Fourth Proportional to 11,459.68, 17,175.15 and 6,194.47

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Solution

The fourth proportional to 11,459.68, 17,175.15 and 6,194.47 is: 9,283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.68 : 17,175.15 = 6,194.47 : x
  2. Step 2: Convert to fraction form
    11,459.68/17,175.15 = 6,194.47/x
  3. Step 3: Cross multiply
    11,459.68x = 17,175.15 × 6,194.47
  4. Step 4: Simplify right side
    11,459.68x = 106,390,951.42
  5. Step 5: Solve for x
    x = 106,390,951.42/11,459.68
  6. Step 6: Final answer
    x = 9,283.94

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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.