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Finding the Fourth Proportional to 8,416.63, 12,626.76 and 3,222.50

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Solution

The fourth proportional to 8,416.63, 12,626.76 and 3,222.50 is: 4,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.63 : 12,626.76 = 3,222.50 : x
  2. Step 2: Convert to fraction form
    8,416.63/12,626.76 = 3,222.50/x
  3. Step 3: Cross multiply
    8,416.63x = 12,626.76 × 3,222.50
  4. Step 4: Simplify right side
    8,416.63x = 40,689,734.10
  5. Step 5: Solve for x
    x = 40,689,734.10/8,416.63
  6. Step 6: Final answer
    x = 4,834.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.