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Finding the Fourth Proportional to 10,410.94, 14,366.73 and 6,162.76

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Solution

The fourth proportional to 10,410.94, 14,366.73 and 6,162.76 is: 8,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.94 : 14,366.73 = 6,162.76 : x
  2. Step 2: Convert to fraction form
    10,410.94/14,366.73 = 6,162.76/x
  3. Step 3: Cross multiply
    10,410.94x = 14,366.73 × 6,162.76
  4. Step 4: Simplify right side
    10,410.94x = 88,538,708.97
  5. Step 5: Solve for x
    x = 88,538,708.97/10,410.94
  6. Step 6: Final answer
    x = 8,504.39

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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.