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Finding the Fourth Proportional to 10,770.98, 14,863.91 and 6,293.83

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Solution

The fourth proportional to 10,770.98, 14,863.91 and 6,293.83 is: 8,685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.98 : 14,863.91 = 6,293.83 : x
  2. Step 2: Convert to fraction form
    10,770.98/14,863.91 = 6,293.83/x
  3. Step 3: Cross multiply
    10,770.98x = 14,863.91 × 6,293.83
  4. Step 4: Simplify right side
    10,770.98x = 93,550,974.00
  5. Step 5: Solve for x
    x = 93,550,974.00/10,770.98
  6. Step 6: Final answer
    x = 8,685.47

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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.