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Finding the Fourth Proportional to 8,520.36, 11,753.94 and 7,339.38

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Solution

The fourth proportional to 8,520.36, 11,753.94 and 7,339.38 is: 10,124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.36 : 11,753.94 = 7,339.38 : x
  2. Step 2: Convert to fraction form
    8,520.36/11,753.94 = 7,339.38/x
  3. Step 3: Cross multiply
    8,520.36x = 11,753.94 × 7,339.38
  4. Step 4: Simplify right side
    8,520.36x = 86,266,632.16
  5. Step 5: Solve for x
    x = 86,266,632.16/8,520.36
  6. Step 6: Final answer
    x = 10,124.76

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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.