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Finding the Fourth Proportional to 27,397.28, 41,094.38 and 7,406.48

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Solution

The fourth proportional to 27,397.28, 41,094.38 and 7,406.48 is: 11,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,397.28 : 41,094.38 = 7,406.48 : x
  2. Step 2: Convert to fraction form
    27,397.28/41,094.38 = 7,406.48/x
  3. Step 3: Cross multiply
    27,397.28x = 41,094.38 × 7,406.48
  4. Step 4: Simplify right side
    27,397.28x = 304,364,670.73
  5. Step 5: Solve for x
    x = 304,364,670.73/27,397.28
  6. Step 6: Final answer
    x = 11,109.30

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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.