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Finding the Fourth Proportional to 10,089.80, 13,930.78 and 6,314.49

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Solution

The fourth proportional to 10,089.80, 13,930.78 and 6,314.49 is: 8,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.80 : 13,930.78 = 6,314.49 : x
  2. Step 2: Convert to fraction form
    10,089.80/13,930.78 = 6,314.49/x
  3. Step 3: Cross multiply
    10,089.80x = 13,930.78 × 6,314.49
  4. Step 4: Simplify right side
    10,089.80x = 87,965,771.00
  5. Step 5: Solve for x
    x = 87,965,771.00/10,089.80
  6. Step 6: Final answer
    x = 8,718.29

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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.