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Finding the Fourth Proportional to 11,815.68, 17,734.47 and 5,976.39

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Solution

The fourth proportional to 11,815.68, 17,734.47 and 5,976.39 is: 8,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.68 : 17,734.47 = 5,976.39 : x
  2. Step 2: Convert to fraction form
    11,815.68/17,734.47 = 5,976.39/x
  3. Step 3: Cross multiply
    11,815.68x = 17,734.47 × 5,976.39
  4. Step 4: Simplify right side
    11,815.68x = 105,988,109.16
  5. Step 5: Solve for x
    x = 105,988,109.16/11,815.68
  6. Step 6: Final answer
    x = 8,970.12

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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.