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Finding the Fourth Proportional to 11,858.08, 16,366.06 and 7,078.27

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Solution

The fourth proportional to 11,858.08, 16,366.06 and 7,078.27 is: 9,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.08 : 16,366.06 = 7,078.27 : x
  2. Step 2: Convert to fraction form
    11,858.08/16,366.06 = 7,078.27/x
  3. Step 3: Cross multiply
    11,858.08x = 16,366.06 × 7,078.27
  4. Step 4: Simplify right side
    11,858.08x = 115,843,391.52
  5. Step 5: Solve for x
    x = 115,843,391.52/11,858.08
  6. Step 6: Final answer
    x = 9,769.15

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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.