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Finding the Fourth Proportional to 26,370, 39,561.60 and 7,902

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Solution

The fourth proportional to 26,370, 39,561.60 and 7,902 is: 11,854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,370 : 39,561.60 = 7,902 : x
  2. Step 2: Convert to fraction form
    26,370/39,561.60 = 7,902/x
  3. Step 3: Cross multiply
    26,370x = 39,561.60 × 7,902
  4. Step 4: Simplify right side
    26,370x = 312,615,763.20
  5. Step 5: Solve for x
    x = 312,615,763.20/26,370
  6. Step 6: Final answer
    x = 11,854.98

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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.