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Finding the Fourth Proportional to 8,263.94, 11,404.33 and 4,487.15

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Solution

The fourth proportional to 8,263.94, 11,404.33 and 4,487.15 is: 6,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.94 : 11,404.33 = 4,487.15 : x
  2. Step 2: Convert to fraction form
    8,263.94/11,404.33 = 4,487.15/x
  3. Step 3: Cross multiply
    8,263.94x = 11,404.33 × 4,487.15
  4. Step 4: Simplify right side
    8,263.94x = 51,172,939.36
  5. Step 5: Solve for x
    x = 51,172,939.36/8,263.94
  6. Step 6: Final answer
    x = 6,192.32

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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.