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Finding the Fourth Proportional to 11,904.14, 16,427.94 and 6,599.46

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Solution

The fourth proportional to 11,904.14, 16,427.94 and 6,599.46 is: 9,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.14 : 16,427.94 = 6,599.46 : x
  2. Step 2: Convert to fraction form
    11,904.14/16,427.94 = 6,599.46/x
  3. Step 3: Cross multiply
    11,904.14x = 16,427.94 × 6,599.46
  4. Step 4: Simplify right side
    11,904.14x = 108,415,532.91
  5. Step 5: Solve for x
    x = 108,415,532.91/11,904.14
  6. Step 6: Final answer
    x = 9,107.38

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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.