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Finding the Fourth Proportional to 11,166.54, 15,411.06 and 7,137.09

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Solution

The fourth proportional to 11,166.54, 15,411.06 and 7,137.09 is: 9,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.54 : 15,411.06 = 7,137.09 : x
  2. Step 2: Convert to fraction form
    11,166.54/15,411.06 = 7,137.09/x
  3. Step 3: Cross multiply
    11,166.54x = 15,411.06 × 7,137.09
  4. Step 4: Simplify right side
    11,166.54x = 109,990,122.22
  5. Step 5: Solve for x
    x = 109,990,122.22/11,166.54
  6. Step 6: Final answer
    x = 9,849.97

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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.