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Finding the Fourth Proportional to 27,314.09, 40,963.85 and 7,593.74

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Solution

The fourth proportional to 27,314.09, 40,963.85 and 7,593.74 is: 11,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314.09 : 40,963.85 = 7,593.74 : x
  2. Step 2: Convert to fraction form
    27,314.09/40,963.85 = 7,593.74/x
  3. Step 3: Cross multiply
    27,314.09x = 40,963.85 × 7,593.74
  4. Step 4: Simplify right side
    27,314.09x = 311,068,583.51
  5. Step 5: Solve for x
    x = 311,068,583.51/27,314.09
  6. Step 6: Final answer
    x = 11,388.57

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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.