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Finding the Fourth Proportional to 26,510.46, 39,755.94 and 7,785.69

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Solution

The fourth proportional to 26,510.46, 39,755.94 and 7,785.69 is: 11,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,510.46 : 39,755.94 = 7,785.69 : x
  2. Step 2: Convert to fraction form
    26,510.46/39,755.94 = 7,785.69/x
  3. Step 3: Cross multiply
    26,510.46x = 39,755.94 × 7,785.69
  4. Step 4: Simplify right side
    26,510.46x = 309,527,424.50
  5. Step 5: Solve for x
    x = 309,527,424.50/26,510.46
  6. Step 6: Final answer
    x = 11,675.67

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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.