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Finding the Fourth Proportional to 11,586.01, 17,382.25 and 4,561.69

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Solution

The fourth proportional to 11,586.01, 17,382.25 and 4,561.69 is: 6,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.01 : 17,382.25 = 4,561.69 : x
  2. Step 2: Convert to fraction form
    11,586.01/17,382.25 = 4,561.69/x
  3. Step 3: Cross multiply
    11,586.01x = 17,382.25 × 4,561.69
  4. Step 4: Simplify right side
    11,586.01x = 79,292,436.00
  5. Step 5: Solve for x
    x = 79,292,436.00/11,586.01
  6. Step 6: Final answer
    x = 6,843.81

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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.