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Finding the Fourth Proportional to 8,975.26, 12,385.75 and 5,199.64

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Solution

The fourth proportional to 8,975.26, 12,385.75 and 5,199.64 is: 7,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975.26 : 12,385.75 = 5,199.64 : x
  2. Step 2: Convert to fraction form
    8,975.26/12,385.75 = 5,199.64/x
  3. Step 3: Cross multiply
    8,975.26x = 12,385.75 × 5,199.64
  4. Step 4: Simplify right side
    8,975.26x = 64,401,441.13
  5. Step 5: Solve for x
    x = 64,401,441.13/8,975.26
  6. Step 6: Final answer
    x = 7,175.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.