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Finding the Fourth Proportional to 27,377.54, 41,060.03 and 7,657.49

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Solution

The fourth proportional to 27,377.54, 41,060.03 and 7,657.49 is: 11,484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,377.54 : 41,060.03 = 7,657.49 : x
  2. Step 2: Convert to fraction form
    27,377.54/41,060.03 = 7,657.49/x
  3. Step 3: Cross multiply
    27,377.54x = 41,060.03 × 7,657.49
  4. Step 4: Simplify right side
    27,377.54x = 314,416,525.54
  5. Step 5: Solve for x
    x = 314,416,525.54/27,377.54
  6. Step 6: Final answer
    x = 11,484.47

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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.