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Finding the Fourth Proportional to 27,713.54, 41,570.37 and 6,937.10

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Solution

The fourth proportional to 27,713.54, 41,570.37 and 6,937.10 is: 10,405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713.54 : 41,570.37 = 6,937.10 : x
  2. Step 2: Convert to fraction form
    27,713.54/41,570.37 = 6,937.10/x
  3. Step 3: Cross multiply
    27,713.54x = 41,570.37 × 6,937.10
  4. Step 4: Simplify right side
    27,713.54x = 288,377,813.73
  5. Step 5: Solve for x
    x = 288,377,813.73/27,713.54
  6. Step 6: Final answer
    x = 10,405.67

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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.