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Finding the Fourth Proportional to 11,200.56, 15,456.06 and 6,724.50

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Solution

The fourth proportional to 11,200.56, 15,456.06 and 6,724.50 is: 9,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.56 : 15,456.06 = 6,724.50 : x
  2. Step 2: Convert to fraction form
    11,200.56/15,456.06 = 6,724.50/x
  3. Step 3: Cross multiply
    11,200.56x = 15,456.06 × 6,724.50
  4. Step 4: Simplify right side
    11,200.56x = 103,934,275.47
  5. Step 5: Solve for x
    x = 103,934,275.47/11,200.56
  6. Step 6: Final answer
    x = 9,279.38

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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.