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Finding the Fourth Proportional to 10,724.92, 14,800.38 and 6,009.23

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Solution

The fourth proportional to 10,724.92, 14,800.38 and 6,009.23 is: 8,292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.92 : 14,800.38 = 6,009.23 : x
  2. Step 2: Convert to fraction form
    10,724.92/14,800.38 = 6,009.23/x
  3. Step 3: Cross multiply
    10,724.92x = 14,800.38 × 6,009.23
  4. Step 4: Simplify right side
    10,724.92x = 88,938,901.97
  5. Step 5: Solve for x
    x = 88,938,901.97/10,724.92
  6. Step 6: Final answer
    x = 8,292.74

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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.