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Finding the Fourth Proportional to 27,509.68, 41,264.66 and 6,733.18

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Solution

The fourth proportional to 27,509.68, 41,264.66 and 6,733.18 is: 10,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.68 : 41,264.66 = 6,733.18 : x
  2. Step 2: Convert to fraction form
    27,509.68/41,264.66 = 6,733.18/x
  3. Step 3: Cross multiply
    27,509.68x = 41,264.66 × 6,733.18
  4. Step 4: Simplify right side
    27,509.68x = 277,842,383.42
  5. Step 5: Solve for x
    x = 277,842,383.42/27,509.68
  6. Step 6: Final answer
    x = 10,099.80

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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.