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Finding the Fourth Proportional to 27,382.04, 41,066.78 and 7,661.98

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Solution

The fourth proportional to 27,382.04, 41,066.78 and 7,661.98 is: 11,491.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.04 : 41,066.78 = 7,661.98 : x
  2. Step 2: Convert to fraction form
    27,382.04/41,066.78 = 7,661.98/x
  3. Step 3: Cross multiply
    27,382.04x = 41,066.78 × 7,661.98
  4. Step 4: Simplify right side
    27,382.04x = 314,652,847.02
  5. Step 5: Solve for x
    x = 314,652,847.02/27,382.04
  6. Step 6: Final answer
    x = 11,491.21

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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.