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Finding the Fourth Proportional to 12,580.30, 17,359.41 and 7,544.73

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Solution

The fourth proportional to 12,580.30, 17,359.41 and 7,544.73 is: 10,410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.30 : 17,359.41 = 7,544.73 : x
  2. Step 2: Convert to fraction form
    12,580.30/17,359.41 = 7,544.73/x
  3. Step 3: Cross multiply
    12,580.30x = 17,359.41 × 7,544.73
  4. Step 4: Simplify right side
    12,580.30x = 130,972,057.15
  5. Step 5: Solve for x
    x = 130,972,057.15/12,580.30
  6. Step 6: Final answer
    x = 10,410.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.