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Finding the Fourth Proportional to 27,807.27, 41,710.55 and 6,747.47

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Solution

The fourth proportional to 27,807.27, 41,710.55 and 6,747.47 is: 10,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.27 : 41,710.55 = 6,747.47 : x
  2. Step 2: Convert to fraction form
    27,807.27/41,710.55 = 6,747.47/x
  3. Step 3: Cross multiply
    27,807.27x = 41,710.55 × 6,747.47
  4. Step 4: Simplify right side
    27,807.27x = 281,440,598.93
  5. Step 5: Solve for x
    x = 281,440,598.93/27,807.27
  6. Step 6: Final answer
    x = 10,121.12

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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.