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Finding the Fourth Proportional to 27,482.73, 41,226.32 and 7,761.46

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Solution

The fourth proportional to 27,482.73, 41,226.32 and 7,761.46 is: 11,642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,482.73 : 41,226.32 = 7,761.46 : x
  2. Step 2: Convert to fraction form
    27,482.73/41,226.32 = 7,761.46/x
  3. Step 3: Cross multiply
    27,482.73x = 41,226.32 × 7,761.46
  4. Step 4: Simplify right side
    27,482.73x = 319,976,325.63
  5. Step 5: Solve for x
    x = 319,976,325.63/27,482.73
  6. Step 6: Final answer
    x = 11,642.81

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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.