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Finding the Fourth Proportional to 27,362.33, 41,043.61 and 7,641.06

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Solution

The fourth proportional to 27,362.33, 41,043.61 and 7,641.06 is: 11,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,362.33 : 41,043.61 = 7,641.06 : x
  2. Step 2: Convert to fraction form
    27,362.33/41,043.61 = 7,641.06/x
  3. Step 3: Cross multiply
    27,362.33x = 41,043.61 × 7,641.06
  4. Step 4: Simplify right side
    27,362.33x = 313,616,657.70
  5. Step 5: Solve for x
    x = 313,616,657.70/27,362.33
  6. Step 6: Final answer
    x = 11,461.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.