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Finding the Fourth Proportional to 10,998.42, 16,498.44 and 4,764.48

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Solution

The fourth proportional to 10,998.42, 16,498.44 and 4,764.48 is: 7,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.42 : 16,498.44 = 4,764.48 : x
  2. Step 2: Convert to fraction form
    10,998.42/16,498.44 = 4,764.48/x
  3. Step 3: Cross multiply
    10,998.42x = 16,498.44 × 4,764.48
  4. Step 4: Simplify right side
    10,998.42x = 78,606,487.41
  5. Step 5: Solve for x
    x = 78,606,487.41/10,998.42
  6. Step 6: Final answer
    x = 7,147.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.