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Finding the Fourth Proportional to 8,287.34, 11,436.73 and 5,099.45

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Solution

The fourth proportional to 8,287.34, 11,436.73 and 5,099.45 is: 7,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.34 : 11,436.73 = 5,099.45 : x
  2. Step 2: Convert to fraction form
    8,287.34/11,436.73 = 5,099.45/x
  3. Step 3: Cross multiply
    8,287.34x = 11,436.73 × 5,099.45
  4. Step 4: Simplify right side
    8,287.34x = 58,320,962.87
  5. Step 5: Solve for x
    x = 58,320,962.87/8,287.34
  6. Step 6: Final answer
    x = 7,037.36

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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.