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Finding the Fourth Proportional to 8,113.90, 11,196.94 and 4,528.96

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Solution

The fourth proportional to 8,113.90, 11,196.94 and 4,528.96 is: 6,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.90 : 11,196.94 = 4,528.96 : x
  2. Step 2: Convert to fraction form
    8,113.90/11,196.94 = 4,528.96/x
  3. Step 3: Cross multiply
    8,113.90x = 11,196.94 × 4,528.96
  4. Step 4: Simplify right side
    8,113.90x = 50,710,493.38
  5. Step 5: Solve for x
    x = 50,710,493.38/8,113.90
  6. Step 6: Final answer
    x = 6,249.83

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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.