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Finding the Fourth Proportional to 7,411.64, 11,104.65 and 3,896.42

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Solution

The fourth proportional to 7,411.64, 11,104.65 and 3,896.42 is: 5,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.64 : 11,104.65 = 3,896.42 : x
  2. Step 2: Convert to fraction form
    7,411.64/11,104.65 = 3,896.42/x
  3. Step 3: Cross multiply
    7,411.64x = 11,104.65 × 3,896.42
  4. Step 4: Simplify right side
    7,411.64x = 43,268,324.83
  5. Step 5: Solve for x
    x = 43,268,324.83/7,411.64
  6. Step 6: Final answer
    x = 5,837.89

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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.