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Finding the Fourth Proportional to 8,381.40, 11,564.73 and 5,396.64

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Solution

The fourth proportional to 8,381.40, 11,564.73 and 5,396.64 is: 7,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.40 : 11,564.73 = 5,396.64 : x
  2. Step 2: Convert to fraction form
    8,381.40/11,564.73 = 5,396.64/x
  3. Step 3: Cross multiply
    8,381.40x = 11,564.73 × 5,396.64
  4. Step 4: Simplify right side
    8,381.40x = 62,410,684.51
  5. Step 5: Solve for x
    x = 62,410,684.51/8,381.40
  6. Step 6: Final answer
    x = 7,446.33

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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.