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Finding the Fourth Proportional to 8,216.24, 12,317 and 3,018.48

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Solution

The fourth proportional to 8,216.24, 12,317 and 3,018.48 is: 4,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.24 : 12,317 = 3,018.48 : x
  2. Step 2: Convert to fraction form
    8,216.24/12,317 = 3,018.48/x
  3. Step 3: Cross multiply
    8,216.24x = 12,317 × 3,018.48
  4. Step 4: Simplify right side
    8,216.24x = 37,178,618.16
  5. Step 5: Solve for x
    x = 37,178,618.16/8,216.24
  6. Step 6: Final answer
    x = 4,525.02

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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.