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Finding the Fourth Proportional to 26,798.76, 40,187.34 and 8,073

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Solution

The fourth proportional to 26,798.76, 40,187.34 and 8,073 is: 12,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,798.76 : 40,187.34 = 8,073 : x
  2. Step 2: Convert to fraction form
    26,798.76/40,187.34 = 8,073/x
  3. Step 3: Cross multiply
    26,798.76x = 40,187.34 × 8,073
  4. Step 4: Simplify right side
    26,798.76x = 324,432,395.82
  5. Step 5: Solve for x
    x = 324,432,395.82/26,798.76
  6. Step 6: Final answer
    x = 12,106.25

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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.