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Finding the Fourth Proportional to 7,865.82, 11,798.73 and 7,471.67

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Solution

The fourth proportional to 7,865.82, 11,798.73 and 7,471.67 is: 11,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.82 : 11,798.73 = 7,471.67 : x
  2. Step 2: Convert to fraction form
    7,865.82/11,798.73 = 7,471.67/x
  3. Step 3: Cross multiply
    7,865.82x = 11,798.73 × 7,471.67
  4. Step 4: Simplify right side
    7,865.82x = 88,156,157.99
  5. Step 5: Solve for x
    x = 88,156,157.99/7,865.82
  6. Step 6: Final answer
    x = 11,207.50

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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.