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Finding the Fourth Proportional to 7,978.56, 10,998.98 and 5,613.36

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Solution

The fourth proportional to 7,978.56, 10,998.98 and 5,613.36 is: 7,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.56 : 10,998.98 = 5,613.36 : x
  2. Step 2: Convert to fraction form
    7,978.56/10,998.98 = 5,613.36/x
  3. Step 3: Cross multiply
    7,978.56x = 10,998.98 × 5,613.36
  4. Step 4: Simplify right side
    7,978.56x = 61,741,234.37
  5. Step 5: Solve for x
    x = 61,741,234.37/7,978.56
  6. Step 6: Final answer
    x = 7,738.39

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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.