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Finding the Fourth Proportional to 26,440.75, 39,657.22 and 7,715.76

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Solution

The fourth proportional to 26,440.75, 39,657.22 and 7,715.76 is: 11,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,440.75 : 39,657.22 = 7,715.76 : x
  2. Step 2: Convert to fraction form
    26,440.75/39,657.22 = 7,715.76/x
  3. Step 3: Cross multiply
    26,440.75x = 39,657.22 × 7,715.76
  4. Step 4: Simplify right side
    26,440.75x = 305,985,591.79
  5. Step 5: Solve for x
    x = 305,985,591.79/26,440.75
  6. Step 6: Final answer
    x = 11,572.50

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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.