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Finding the Fourth Proportional to 8,053.38, 11,113.76 and 4,468.41

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Solution

The fourth proportional to 8,053.38, 11,113.76 and 4,468.41 is: 6,166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.38 : 11,113.76 = 4,468.41 : x
  2. Step 2: Convert to fraction form
    8,053.38/11,113.76 = 4,468.41/x
  3. Step 3: Cross multiply
    8,053.38x = 11,113.76 × 4,468.41
  4. Step 4: Simplify right side
    8,053.38x = 49,660,813.98
  5. Step 5: Solve for x
    x = 49,660,813.98/8,053.38
  6. Step 6: Final answer
    x = 6,166.46

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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.