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Finding the Fourth Proportional to 27,187.86, 40,776.93 and 7,463.82

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Solution

The fourth proportional to 27,187.86, 40,776.93 and 7,463.82 is: 11,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,187.86 : 40,776.93 = 7,463.82 : x
  2. Step 2: Convert to fraction form
    27,187.86/40,776.93 = 7,463.82/x
  3. Step 3: Cross multiply
    27,187.86x = 40,776.93 × 7,463.82
  4. Step 4: Simplify right side
    27,187.86x = 304,351,665.67
  5. Step 5: Solve for x
    x = 304,351,665.67/27,187.86
  6. Step 6: Final answer
    x = 11,194.40

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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.