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Finding the Fourth Proportional to 11,686.86, 17,496.27 and 6,127.02

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Solution

The fourth proportional to 11,686.86, 17,496.27 and 6,127.02 is: 9,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.86 : 17,496.27 = 6,127.02 : x
  2. Step 2: Convert to fraction form
    11,686.86/17,496.27 = 6,127.02/x
  3. Step 3: Cross multiply
    11,686.86x = 17,496.27 × 6,127.02
  4. Step 4: Simplify right side
    11,686.86x = 107,199,996.22
  5. Step 5: Solve for x
    x = 107,199,996.22/11,686.86
  6. Step 6: Final answer
    x = 9,172.69

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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.