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Finding the Fourth Proportional to 11,776.18, 17,664.27 and 3,990.46

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Solution

The fourth proportional to 11,776.18, 17,664.27 and 3,990.46 is: 5,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.18 : 17,664.27 = 3,990.46 : x
  2. Step 2: Convert to fraction form
    11,776.18/17,664.27 = 3,990.46/x
  3. Step 3: Cross multiply
    11,776.18x = 17,664.27 × 3,990.46
  4. Step 4: Simplify right side
    11,776.18x = 70,488,562.86
  5. Step 5: Solve for x
    x = 70,488,562.86/11,776.18
  6. Step 6: Final answer
    x = 5,985.69

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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.