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Finding the Fourth Proportional to 11,010.50, 15,194.49 and 6,042.50

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Solution

The fourth proportional to 11,010.50, 15,194.49 and 6,042.50 is: 8,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,010.50 : 15,194.49 = 6,042.50 : x
  2. Step 2: Convert to fraction form
    11,010.50/15,194.49 = 6,042.50/x
  3. Step 3: Cross multiply
    11,010.50x = 15,194.49 × 6,042.50
  4. Step 4: Simplify right side
    11,010.50x = 91,812,705.83
  5. Step 5: Solve for x
    x = 91,812,705.83/11,010.50
  6. Step 6: Final answer
    x = 8,338.65

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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.