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Finding the Fourth Proportional to 11,686.16, 17,526.40 and 3,893.96

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Solution

The fourth proportional to 11,686.16, 17,526.40 and 3,893.96 is: 5,839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.16 : 17,526.40 = 3,893.96 : x
  2. Step 2: Convert to fraction form
    11,686.16/17,526.40 = 3,893.96/x
  3. Step 3: Cross multiply
    11,686.16x = 17,526.40 × 3,893.96
  4. Step 4: Simplify right side
    11,686.16x = 68,247,100.54
  5. Step 5: Solve for x
    x = 68,247,100.54/11,686.16
  6. Step 6: Final answer
    x = 5,839.99

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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.