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Finding the Fourth Proportional to 8,216.33, 12,305.94 and 5,762.12

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Solution

The fourth proportional to 8,216.33, 12,305.94 and 5,762.12 is: 8,630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.33 : 12,305.94 = 5,762.12 : x
  2. Step 2: Convert to fraction form
    8,216.33/12,305.94 = 5,762.12/x
  3. Step 3: Cross multiply
    8,216.33x = 12,305.94 × 5,762.12
  4. Step 4: Simplify right side
    8,216.33x = 70,908,241.46
  5. Step 5: Solve for x
    x = 70,908,241.46/8,216.33
  6. Step 6: Final answer
    x = 8,630.17

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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.