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Finding the Fourth Proportional to 7,240.12, 9,989.16 and 4,998.48

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Solution

The fourth proportional to 7,240.12, 9,989.16 and 4,998.48 is: 6,896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.12 : 9,989.16 = 4,998.48 : x
  2. Step 2: Convert to fraction form
    7,240.12/9,989.16 = 4,998.48/x
  3. Step 3: Cross multiply
    7,240.12x = 9,989.16 × 4,998.48
  4. Step 4: Simplify right side
    7,240.12x = 49,930,616.48
  5. Step 5: Solve for x
    x = 49,930,616.48/7,240.12
  6. Step 6: Final answer
    x = 6,896.38

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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.