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Finding the Fourth Proportional to 27,245.28, 40,868.01 and 7,523.40

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Solution

The fourth proportional to 27,245.28, 40,868.01 and 7,523.40 is: 11,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,245.28 : 40,868.01 = 7,523.40 : x
  2. Step 2: Convert to fraction form
    27,245.28/40,868.01 = 7,523.40/x
  3. Step 3: Cross multiply
    27,245.28x = 40,868.01 × 7,523.40
  4. Step 4: Simplify right side
    27,245.28x = 307,466,386.43
  5. Step 5: Solve for x
    x = 307,466,386.43/27,245.28
  6. Step 6: Final answer
    x = 11,285.12

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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.