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Finding the Fourth Proportional to 7,240.40, 9,992.08 and 4,096.52

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Solution

The fourth proportional to 7,240.40, 9,992.08 and 4,096.52 is: 5,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.40 : 9,992.08 = 4,096.52 : x
  2. Step 2: Convert to fraction form
    7,240.40/9,992.08 = 4,096.52/x
  3. Step 3: Cross multiply
    7,240.40x = 9,992.08 × 4,096.52
  4. Step 4: Simplify right side
    7,240.40x = 40,932,755.56
  5. Step 5: Solve for x
    x = 40,932,755.56/7,240.40
  6. Step 6: Final answer
    x = 5,653.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.