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Finding the Fourth Proportional to 11,224.56, 15,490.36 and 6,189.38

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Solution

The fourth proportional to 11,224.56, 15,490.36 and 6,189.38 is: 8,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.56 : 15,490.36 = 6,189.38 : x
  2. Step 2: Convert to fraction form
    11,224.56/15,490.36 = 6,189.38/x
  3. Step 3: Cross multiply
    11,224.56x = 15,490.36 × 6,189.38
  4. Step 4: Simplify right side
    11,224.56x = 95,875,724.38
  5. Step 5: Solve for x
    x = 95,875,724.38/11,224.56
  6. Step 6: Final answer
    x = 8,541.60

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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.