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Finding the Fourth Proportional to 10,788.50, 14,884.09 and 6,310.82

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Solution

The fourth proportional to 10,788.50, 14,884.09 and 6,310.82 is: 8,706.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.50 : 14,884.09 = 6,310.82 : x
  2. Step 2: Convert to fraction form
    10,788.50/14,884.09 = 6,310.82/x
  3. Step 3: Cross multiply
    10,788.50x = 14,884.09 × 6,310.82
  4. Step 4: Simplify right side
    10,788.50x = 93,930,812.85
  5. Step 5: Solve for x
    x = 93,930,812.85/10,788.50
  6. Step 6: Final answer
    x = 8,706.57

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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.