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Finding the Fourth Proportional to 11,967.09, 17,953.22 and 3,646.89

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Solution

The fourth proportional to 11,967.09, 17,953.22 and 3,646.89 is: 5,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.09 : 17,953.22 = 3,646.89 : x
  2. Step 2: Convert to fraction form
    11,967.09/17,953.22 = 3,646.89/x
  3. Step 3: Cross multiply
    11,967.09x = 17,953.22 × 3,646.89
  4. Step 4: Simplify right side
    11,967.09x = 65,473,400.25
  5. Step 5: Solve for x
    x = 65,473,400.25/11,967.09
  6. Step 6: Final answer
    x = 5,471.12

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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.