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Finding the Fourth Proportional to 8,684.68, 13,024.35 and 3,137.32

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Solution

The fourth proportional to 8,684.68, 13,024.35 and 3,137.32 is: 4,705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.68 : 13,024.35 = 3,137.32 : x
  2. Step 2: Convert to fraction form
    8,684.68/13,024.35 = 3,137.32/x
  3. Step 3: Cross multiply
    8,684.68x = 13,024.35 × 3,137.32
  4. Step 4: Simplify right side
    8,684.68x = 40,861,553.74
  5. Step 5: Solve for x
    x = 40,861,553.74/8,684.68
  6. Step 6: Final answer
    x = 4,705.02

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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.