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Finding the Fourth Proportional to 8,675.75, 13,039.16 and 7,204.43

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Solution

The fourth proportional to 8,675.75, 13,039.16 and 7,204.43 is: 10,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675.75 : 13,039.16 = 7,204.43 : x
  2. Step 2: Convert to fraction form
    8,675.75/13,039.16 = 7,204.43/x
  3. Step 3: Cross multiply
    8,675.75x = 13,039.16 × 7,204.43
  4. Step 4: Simplify right side
    8,675.75x = 93,939,712.05
  5. Step 5: Solve for x
    x = 93,939,712.05/8,675.75
  6. Step 6: Final answer
    x = 10,827.85

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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.