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Finding the Fourth Proportional to 11,505.24, 17,237.00 and 5,270.47

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Solution

The fourth proportional to 11,505.24, 17,237.00 and 5,270.47 is: 7,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.24 : 17,237.00 = 5,270.47 : x
  2. Step 2: Convert to fraction form
    11,505.24/17,237.00 = 5,270.47/x
  3. Step 3: Cross multiply
    11,505.24x = 17,237.00 × 5,270.47
  4. Step 4: Simplify right side
    11,505.24x = 90,847,061.47
  5. Step 5: Solve for x
    x = 90,847,061.47/11,505.24
  6. Step 6: Final answer
    x = 7,896.15

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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.