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Finding the Fourth Proportional to 11,561.31, 17,329.65 and 6,009.06

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Solution

The fourth proportional to 11,561.31, 17,329.65 and 6,009.06 is: 9,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.31 : 17,329.65 = 6,009.06 : x
  2. Step 2: Convert to fraction form
    11,561.31/17,329.65 = 6,009.06/x
  3. Step 3: Cross multiply
    11,561.31x = 17,329.65 × 6,009.06
  4. Step 4: Simplify right side
    11,561.31x = 104,134,906.63
  5. Step 5: Solve for x
    x = 104,134,906.63/11,561.31
  6. Step 6: Final answer
    x = 9,007.19

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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.