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Finding the Fourth Proportional to 27,515.42, 41,274.74 and 7,792.32

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Solution

The fourth proportional to 27,515.42, 41,274.74 and 7,792.32 is: 11,688.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,515.42 : 41,274.74 = 7,792.32 : x
  2. Step 2: Convert to fraction form
    27,515.42/41,274.74 = 7,792.32/x
  3. Step 3: Cross multiply
    27,515.42x = 41,274.74 × 7,792.32
  4. Step 4: Simplify right side
    27,515.42x = 321,625,943.04
  5. Step 5: Solve for x
    x = 321,625,943.04/27,515.42
  6. Step 6: Final answer
    x = 11,688.94

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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.