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Finding the Fourth Proportional to 27,277.85, 40,912.22 and 7,558.40

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Solution

The fourth proportional to 27,277.85, 40,912.22 and 7,558.40 is: 11,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,277.85 : 40,912.22 = 7,558.40 : x
  2. Step 2: Convert to fraction form
    27,277.85/40,912.22 = 7,558.40/x
  3. Step 3: Cross multiply
    27,277.85x = 40,912.22 × 7,558.40
  4. Step 4: Simplify right side
    27,277.85x = 309,231,044.82
  5. Step 5: Solve for x
    x = 309,231,044.82/27,277.85
  6. Step 6: Final answer
    x = 11,336.34

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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.