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Finding the Fourth Proportional to 27,322.54, 40,983.84 and 7,601.10

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Solution

The fourth proportional to 27,322.54, 40,983.84 and 7,601.10 is: 11,401.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,322.54 : 40,983.84 = 7,601.10 : x
  2. Step 2: Convert to fraction form
    27,322.54/40,983.84 = 7,601.10/x
  3. Step 3: Cross multiply
    27,322.54x = 40,983.84 × 7,601.10
  4. Step 4: Simplify right side
    27,322.54x = 311,522,266.22
  5. Step 5: Solve for x
    x = 311,522,266.22/27,322.54
  6. Step 6: Final answer
    x = 11,401.66

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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.