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Finding the Fourth Proportional to 11,382.57, 17,072.25 and 4,807.24

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Solution

The fourth proportional to 11,382.57, 17,072.25 and 4,807.24 is: 7,210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.57 : 17,072.25 = 4,807.24 : x
  2. Step 2: Convert to fraction form
    11,382.57/17,072.25 = 4,807.24/x
  3. Step 3: Cross multiply
    11,382.57x = 17,072.25 × 4,807.24
  4. Step 4: Simplify right side
    11,382.57x = 82,070,317.73
  5. Step 5: Solve for x
    x = 82,070,317.73/11,382.57
  6. Step 6: Final answer
    x = 7,210.18

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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.