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Finding the Fourth Proportional to 27,110.86, 40,662.18 and 7,391

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Solution

The fourth proportional to 27,110.86, 40,662.18 and 7,391 is: 11,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,110.86 : 40,662.18 = 7,391 : x
  2. Step 2: Convert to fraction form
    27,110.86/40,662.18 = 7,391/x
  3. Step 3: Cross multiply
    27,110.86x = 40,662.18 × 7,391
  4. Step 4: Simplify right side
    27,110.86x = 300,534,172.38
  5. Step 5: Solve for x
    x = 300,534,172.38/27,110.86
  6. Step 6: Final answer
    x = 11,085.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.