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Finding the Fourth Proportional to 11,487.08, 17,197.76 and 7,782.73

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Solution

The fourth proportional to 11,487.08, 17,197.76 and 7,782.73 is: 11,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.08 : 17,197.76 = 7,782.73 : x
  2. Step 2: Convert to fraction form
    11,487.08/17,197.76 = 7,782.73/x
  3. Step 3: Cross multiply
    11,487.08x = 17,197.76 × 7,782.73
  4. Step 4: Simplify right side
    11,487.08x = 133,845,541.16
  5. Step 5: Solve for x
    x = 133,845,541.16/11,487.08
  6. Step 6: Final answer
    x = 11,651.84

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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.