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Finding the Fourth Proportional to 6,988.75, 10,469.15 and 4,213.89

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Solution

The fourth proportional to 6,988.75, 10,469.15 and 4,213.89 is: 6,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.75 : 10,469.15 = 4,213.89 : x
  2. Step 2: Convert to fraction form
    6,988.75/10,469.15 = 4,213.89/x
  3. Step 3: Cross multiply
    6,988.75x = 10,469.15 × 4,213.89
  4. Step 4: Simplify right side
    6,988.75x = 44,115,841.23
  5. Step 5: Solve for x
    x = 44,115,841.23/6,988.75
  6. Step 6: Final answer
    x = 6,312.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.