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Finding the Fourth Proportional to 8,190.56, 11,299.38 and 5,537

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Solution

The fourth proportional to 8,190.56, 11,299.38 and 5,537 is: 7,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.56 : 11,299.38 = 5,537 : x
  2. Step 2: Convert to fraction form
    8,190.56/11,299.38 = 5,537/x
  3. Step 3: Cross multiply
    8,190.56x = 11,299.38 × 5,537
  4. Step 4: Simplify right side
    8,190.56x = 62,564,667.06
  5. Step 5: Solve for x
    x = 62,564,667.06/8,190.56
  6. Step 6: Final answer
    x = 7,638.63

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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.