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Finding the Fourth Proportional to 11,395.17, 17,090.64 and 9,186.90

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Solution

The fourth proportional to 11,395.17, 17,090.64 and 9,186.90 is: 13,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395.17 : 17,090.64 = 9,186.90 : x
  2. Step 2: Convert to fraction form
    11,395.17/17,090.64 = 9,186.90/x
  3. Step 3: Cross multiply
    11,395.17x = 17,090.64 × 9,186.90
  4. Step 4: Simplify right side
    11,395.17x = 157,010,000.62
  5. Step 5: Solve for x
    x = 157,010,000.62/11,395.17
  6. Step 6: Final answer
    x = 13,778.64

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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.