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Finding the Fourth Proportional to 8,417.25, 12,627.70 and 3,223.13

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Solution

The fourth proportional to 8,417.25, 12,627.70 and 3,223.13 is: 4,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.25 : 12,627.70 = 3,223.13 : x
  2. Step 2: Convert to fraction form
    8,417.25/12,627.70 = 3,223.13/x
  3. Step 3: Cross multiply
    8,417.25x = 12,627.70 × 3,223.13
  4. Step 4: Simplify right side
    8,417.25x = 40,700,647.50
  5. Step 5: Solve for x
    x = 40,700,647.50/8,417.25
  6. Step 6: Final answer
    x = 4,835.39

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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.