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Finding the Fourth Proportional to 27,200.98, 40,796.78 and 7,210.61

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Solution

The fourth proportional to 27,200.98, 40,796.78 and 7,210.61 is: 10,814.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.98 : 40,796.78 = 7,210.61 : x
  2. Step 2: Convert to fraction form
    27,200.98/40,796.78 = 7,210.61/x
  3. Step 3: Cross multiply
    27,200.98x = 40,796.78 × 7,210.61
  4. Step 4: Simplify right side
    27,200.98x = 294,169,535.56
  5. Step 5: Solve for x
    x = 294,169,535.56/27,200.98
  6. Step 6: Final answer
    x = 10,814.67

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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.