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Finding the Fourth Proportional to 11,627.74, 17,439.09 and 7,461.82

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Solution

The fourth proportional to 11,627.74, 17,439.09 and 7,461.82 is: 11,191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.74 : 17,439.09 = 7,461.82 : x
  2. Step 2: Convert to fraction form
    11,627.74/17,439.09 = 7,461.82/x
  3. Step 3: Cross multiply
    11,627.74x = 17,439.09 × 7,461.82
  4. Step 4: Simplify right side
    11,627.74x = 130,127,350.54
  5. Step 5: Solve for x
    x = 130,127,350.54/11,627.74
  6. Step 6: Final answer
    x = 11,191.11

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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.