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Finding the Fourth Proportional to 8,216.57, 12,328.81 and 5,883.17

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Solution

The fourth proportional to 8,216.57, 12,328.81 and 5,883.17 is: 8,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.57 : 12,328.81 = 5,883.17 : x
  2. Step 2: Convert to fraction form
    8,216.57/12,328.81 = 5,883.17/x
  3. Step 3: Cross multiply
    8,216.57x = 12,328.81 × 5,883.17
  4. Step 4: Simplify right side
    8,216.57x = 72,532,408.78
  5. Step 5: Solve for x
    x = 72,532,408.78/8,216.57
  6. Step 6: Final answer
    x = 8,827.57

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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.