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Finding the Fourth Proportional to 11,686.96, 17,530.62 and 3,367.72

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Solution

The fourth proportional to 11,686.96, 17,530.62 and 3,367.72 is: 5,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.96 : 17,530.62 = 3,367.72 : x
  2. Step 2: Convert to fraction form
    11,686.96/17,530.62 = 3,367.72/x
  3. Step 3: Cross multiply
    11,686.96x = 17,530.62 × 3,367.72
  4. Step 4: Simplify right side
    11,686.96x = 59,038,219.59
  5. Step 5: Solve for x
    x = 59,038,219.59/11,686.96
  6. Step 6: Final answer
    x = 5,051.63

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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.