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Finding the Fourth Proportional to 27,082.13, 40,624.03 and 7,361.11

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Solution

The fourth proportional to 27,082.13, 40,624.03 and 7,361.11 is: 11,041.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082.13 : 40,624.03 = 7,361.11 : x
  2. Step 2: Convert to fraction form
    27,082.13/40,624.03 = 7,361.11/x
  3. Step 3: Cross multiply
    27,082.13x = 40,624.03 × 7,361.11
  4. Step 4: Simplify right side
    27,082.13x = 299,037,953.47
  5. Step 5: Solve for x
    x = 299,037,953.47/27,082.13
  6. Step 6: Final answer
    x = 11,041.89

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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.