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Finding the Fourth Proportional to 7,127.08, 9,828.98 and 5,936.02

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Solution

The fourth proportional to 7,127.08, 9,828.98 and 5,936.02 is: 8,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.08 : 9,828.98 = 5,936.02 : x
  2. Step 2: Convert to fraction form
    7,127.08/9,828.98 = 5,936.02/x
  3. Step 3: Cross multiply
    7,127.08x = 9,828.98 × 5,936.02
  4. Step 4: Simplify right side
    7,127.08x = 58,345,021.86
  5. Step 5: Solve for x
    x = 58,345,021.86/7,127.08
  6. Step 6: Final answer
    x = 8,186.39

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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.