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Finding the Fourth Proportional to 27,211.14, 40,811.92 and 7,485.01

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Solution

The fourth proportional to 27,211.14, 40,811.92 and 7,485.01 is: 11,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,211.14 : 40,811.92 = 7,485.01 : x
  2. Step 2: Convert to fraction form
    27,211.14/40,811.92 = 7,485.01/x
  3. Step 3: Cross multiply
    27,211.14x = 40,811.92 × 7,485.01
  4. Step 4: Simplify right side
    27,211.14x = 305,477,508.58
  5. Step 5: Solve for x
    x = 305,477,508.58/27,211.14
  6. Step 6: Final answer
    x = 11,226.19

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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.