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Finding the Fourth Proportional to 11,807.20, 17,715.60 and 4,018.24

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Solution

The fourth proportional to 11,807.20, 17,715.60 and 4,018.24 is: 6,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.20 : 17,715.60 = 4,018.24 : x
  2. Step 2: Convert to fraction form
    11,807.20/17,715.60 = 4,018.24/x
  3. Step 3: Cross multiply
    11,807.20x = 17,715.60 × 4,018.24
  4. Step 4: Simplify right side
    11,807.20x = 71,185,532.54
  5. Step 5: Solve for x
    x = 71,185,532.54/11,807.20
  6. Step 6: Final answer
    x = 6,028.99

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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.