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Finding the Fourth Proportional to 11,575.81, 17,366.13 and 6,580.48

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Solution

The fourth proportional to 11,575.81, 17,366.13 and 6,580.48 is: 9,872.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.81 : 17,366.13 = 6,580.48 : x
  2. Step 2: Convert to fraction form
    11,575.81/17,366.13 = 6,580.48/x
  3. Step 3: Cross multiply
    11,575.81x = 17,366.13 × 6,580.48
  4. Step 4: Simplify right side
    11,575.81x = 114,277,453.22
  5. Step 5: Solve for x
    x = 114,277,453.22/11,575.81
  6. Step 6: Final answer
    x = 9,872.09

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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.