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Finding the Fourth Proportional to 11,561.95, 17,332.31 and 4,164.62

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Solution

The fourth proportional to 11,561.95, 17,332.31 and 4,164.62 is: 6,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.95 : 17,332.31 = 4,164.62 : x
  2. Step 2: Convert to fraction form
    11,561.95/17,332.31 = 4,164.62/x
  3. Step 3: Cross multiply
    11,561.95x = 17,332.31 × 4,164.62
  4. Step 4: Simplify right side
    11,561.95x = 72,182,408.62
  5. Step 5: Solve for x
    x = 72,182,408.62/11,561.95
  6. Step 6: Final answer
    x = 6,243.10

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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.