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Finding the Fourth Proportional to 27,185.86, 40,773.93 and 7,461.82

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Solution

The fourth proportional to 27,185.86, 40,773.93 and 7,461.82 is: 11,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,185.86 : 40,773.93 = 7,461.82 : x
  2. Step 2: Convert to fraction form
    27,185.86/40,773.93 = 7,461.82/x
  3. Step 3: Cross multiply
    27,185.86x = 40,773.93 × 7,461.82
  4. Step 4: Simplify right side
    27,185.86x = 304,247,726.35
  5. Step 5: Solve for x
    x = 304,247,726.35/27,185.86
  6. Step 6: Final answer
    x = 11,191.40

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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.