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Finding the Fourth Proportional to 11,860.47, 17,791.02 and 9,092.16

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Solution

The fourth proportional to 11,860.47, 17,791.02 and 9,092.16 is: 13,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.47 : 17,791.02 = 9,092.16 : x
  2. Step 2: Convert to fraction form
    11,860.47/17,791.02 = 9,092.16/x
  3. Step 3: Cross multiply
    11,860.47x = 17,791.02 × 9,092.16
  4. Step 4: Simplify right side
    11,860.47x = 161,758,800.40
  5. Step 5: Solve for x
    x = 161,758,800.40/11,860.47
  6. Step 6: Final answer
    x = 13,638.48

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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.