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Finding the Fourth Proportional to 27,100.12, 40,649.41 and 7,378.85

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Solution

The fourth proportional to 27,100.12, 40,649.41 and 7,378.85 is: 11,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,100.12 : 40,649.41 = 7,378.85 : x
  2. Step 2: Convert to fraction form
    27,100.12/40,649.41 = 7,378.85/x
  3. Step 3: Cross multiply
    27,100.12x = 40,649.41 × 7,378.85
  4. Step 4: Simplify right side
    27,100.12x = 299,945,677.28
  5. Step 5: Solve for x
    x = 299,945,677.28/27,100.12
  6. Step 6: Final answer
    x = 11,068.06

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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.