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Finding the Fourth Proportional to 8,115.64, 12,173.36 and 4,417.03

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Solution

The fourth proportional to 8,115.64, 12,173.36 and 4,417.03 is: 6,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.64 : 12,173.36 = 4,417.03 : x
  2. Step 2: Convert to fraction form
    8,115.64/12,173.36 = 4,417.03/x
  3. Step 3: Cross multiply
    8,115.64x = 12,173.36 × 4,417.03
  4. Step 4: Simplify right side
    8,115.64x = 53,770,035.45
  5. Step 5: Solve for x
    x = 53,770,035.45/8,115.64
  6. Step 6: Final answer
    x = 6,625.49

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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.