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Finding the Fourth Proportional to 8,402.77, 12,604.16 and 3,466.99

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Solution

The fourth proportional to 8,402.77, 12,604.16 and 3,466.99 is: 5,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.77 : 12,604.16 = 3,466.99 : x
  2. Step 2: Convert to fraction form
    8,402.77/12,604.16 = 3,466.99/x
  3. Step 3: Cross multiply
    8,402.77x = 12,604.16 × 3,466.99
  4. Step 4: Simplify right side
    8,402.77x = 43,698,496.68
  5. Step 5: Solve for x
    x = 43,698,496.68/8,402.77
  6. Step 6: Final answer
    x = 5,200.49

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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.