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Finding the Fourth Proportional to 27,184.41, 40,777.07 and 7,462.83

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Solution

The fourth proportional to 27,184.41, 40,777.07 and 7,462.83 is: 11,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,184.41 : 40,777.07 = 7,462.83 : x
  2. Step 2: Convert to fraction form
    27,184.41/40,777.07 = 7,462.83/x
  3. Step 3: Cross multiply
    27,184.41x = 40,777.07 × 7,462.83
  4. Step 4: Simplify right side
    27,184.41x = 304,312,498.89
  5. Step 5: Solve for x
    x = 304,312,498.89/27,184.41
  6. Step 6: Final answer
    x = 11,194.38

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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.