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Finding the Fourth Proportional to 11,706.73, 17,544.60 and 6,148.71

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Solution

The fourth proportional to 11,706.73, 17,544.60 and 6,148.71 is: 9,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.73 : 17,544.60 = 6,148.71 : x
  2. Step 2: Convert to fraction form
    11,706.73/17,544.60 = 6,148.71/x
  3. Step 3: Cross multiply
    11,706.73x = 17,544.60 × 6,148.71
  4. Step 4: Simplify right side
    11,706.73x = 107,876,657.47
  5. Step 5: Solve for x
    x = 107,876,657.47/11,706.73
  6. Step 6: Final answer
    x = 9,214.93

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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.