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Finding the Fourth Proportional to 11,743.68, 17,580.96 and 7,838.40

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Solution

The fourth proportional to 11,743.68, 17,580.96 and 7,838.40 is: 11,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.68 : 17,580.96 = 7,838.40 : x
  2. Step 2: Convert to fraction form
    11,743.68/17,580.96 = 7,838.40/x
  3. Step 3: Cross multiply
    11,743.68x = 17,580.96 × 7,838.40
  4. Step 4: Simplify right side
    11,743.68x = 137,806,596.86
  5. Step 5: Solve for x
    x = 137,806,596.86/11,743.68
  6. Step 6: Final answer
    x = 11,734.53

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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.