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Finding the Fourth Proportional to 8,217.65, 12,325.57 and 4,468.16

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Solution

The fourth proportional to 8,217.65, 12,325.57 and 4,468.16 is: 6,701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.65 : 12,325.57 = 4,468.16 : x
  2. Step 2: Convert to fraction form
    8,217.65/12,325.57 = 4,468.16/x
  3. Step 3: Cross multiply
    8,217.65x = 12,325.57 × 4,468.16
  4. Step 4: Simplify right side
    8,217.65x = 55,072,638.49
  5. Step 5: Solve for x
    x = 55,072,638.49/8,217.65
  6. Step 6: Final answer
    x = 6,701.75

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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.