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Finding the Fourth Proportional to 26,330, 39,501.48 and 7,862

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Solution

The fourth proportional to 26,330, 39,501.48 and 7,862 is: 11,794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,330 : 39,501.48 = 7,862 : x
  2. Step 2: Convert to fraction form
    26,330/39,501.48 = 7,862/x
  3. Step 3: Cross multiply
    26,330x = 39,501.48 × 7,862
  4. Step 4: Simplify right side
    26,330x = 310,560,635.76
  5. Step 5: Solve for x
    x = 310,560,635.76/26,330
  6. Step 6: Final answer
    x = 11,794.93

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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.