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Finding the Fourth Proportional to 8,310.92, 12,473.87 and 5,636.03

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Solution

The fourth proportional to 8,310.92, 12,473.87 and 5,636.03 is: 8,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.92 : 12,473.87 = 5,636.03 : x
  2. Step 2: Convert to fraction form
    8,310.92/12,473.87 = 5,636.03/x
  3. Step 3: Cross multiply
    8,310.92x = 12,473.87 × 5,636.03
  4. Step 4: Simplify right side
    8,310.92x = 70,303,014.99
  5. Step 5: Solve for x
    x = 70,303,014.99/8,310.92
  6. Step 6: Final answer
    x = 8,459.12

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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.