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Finding the Fourth Proportional to 11,057.50, 16,578.94 and 4,475.98

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Solution

The fourth proportional to 11,057.50, 16,578.94 and 4,475.98 is: 6,711.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.50 : 16,578.94 = 4,475.98 : x
  2. Step 2: Convert to fraction form
    11,057.50/16,578.94 = 4,475.98/x
  3. Step 3: Cross multiply
    11,057.50x = 16,578.94 × 4,475.98
  4. Step 4: Simplify right side
    11,057.50x = 74,207,003.86
  5. Step 5: Solve for x
    x = 74,207,003.86/11,057.50
  6. Step 6: Final answer
    x = 6,711.01

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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.