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Finding the Fourth Proportional to 8,189.56, 11,298 and 5,536

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Solution

The fourth proportional to 8,189.56, 11,298 and 5,536 is: 7,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.56 : 11,298 = 5,536 : x
  2. Step 2: Convert to fraction form
    8,189.56/11,298 = 5,536/x
  3. Step 3: Cross multiply
    8,189.56x = 11,298 × 5,536
  4. Step 4: Simplify right side
    8,189.56x = 62,545,728
  5. Step 5: Solve for x
    x = 62,545,728/8,189.56
  6. Step 6: Final answer
    x = 7,637.25

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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.