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Finding the Fourth Proportional to 27,833.76, 41,753.08 and 7,057.26

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Solution

The fourth proportional to 27,833.76, 41,753.08 and 7,057.26 is: 10,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.76 : 41,753.08 = 7,057.26 : x
  2. Step 2: Convert to fraction form
    27,833.76/41,753.08 = 7,057.26/x
  3. Step 3: Cross multiply
    27,833.76x = 41,753.08 × 7,057.26
  4. Step 4: Simplify right side
    27,833.76x = 294,662,341.36
  5. Step 5: Solve for x
    x = 294,662,341.36/27,833.76
  6. Step 6: Final answer
    x = 10,586.51

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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.