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Finding the Fourth Proportional to 7,356.54, 11,034.81 and 2,166.06

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Solution

The fourth proportional to 7,356.54, 11,034.81 and 2,166.06 is: 3,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.54 : 11,034.81 = 2,166.06 : x
  2. Step 2: Convert to fraction form
    7,356.54/11,034.81 = 2,166.06/x
  3. Step 3: Cross multiply
    7,356.54x = 11,034.81 × 2,166.06
  4. Step 4: Simplify right side
    7,356.54x = 23,902,005.37
  5. Step 5: Solve for x
    x = 23,902,005.37/7,356.54
  6. Step 6: Final answer
    x = 3,249.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.