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Finding the Fourth Proportional to 27,883.31, 41,825.16 and 7,106.81

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Solution

The fourth proportional to 27,883.31, 41,825.16 and 7,106.81 is: 10,660.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,883.31 : 41,825.16 = 7,106.81 : x
  2. Step 2: Convert to fraction form
    27,883.31/41,825.16 = 7,106.81/x
  3. Step 3: Cross multiply
    27,883.31x = 41,825.16 × 7,106.81
  4. Step 4: Simplify right side
    27,883.31x = 297,243,256.21
  5. Step 5: Solve for x
    x = 297,243,256.21/27,883.31
  6. Step 6: Final answer
    x = 10,660.26

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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.