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Finding the Fourth Proportional to 10,194.25, 14,068.09 and 5,948.23

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Solution

The fourth proportional to 10,194.25, 14,068.09 and 5,948.23 is: 8,208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.25 : 14,068.09 = 5,948.23 : x
  2. Step 2: Convert to fraction form
    10,194.25/14,068.09 = 5,948.23/x
  3. Step 3: Cross multiply
    10,194.25x = 14,068.09 × 5,948.23
  4. Step 4: Simplify right side
    10,194.25x = 83,680,234.98
  5. Step 5: Solve for x
    x = 83,680,234.98/10,194.25
  6. Step 6: Final answer
    x = 8,208.57

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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.