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Finding the Fourth Proportional to 11,805.47, 17,711.24 and 3,485.15

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Solution

The fourth proportional to 11,805.47, 17,711.24 and 3,485.15 is: 5,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.47 : 17,711.24 = 3,485.15 : x
  2. Step 2: Convert to fraction form
    11,805.47/17,711.24 = 3,485.15/x
  3. Step 3: Cross multiply
    11,805.47x = 17,711.24 × 3,485.15
  4. Step 4: Simplify right side
    11,805.47x = 61,726,328.09
  5. Step 5: Solve for x
    x = 61,726,328.09/11,805.47
  6. Step 6: Final answer
    x = 5,228.62

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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.