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Finding the Fourth Proportional to 11,465.88, 17,214.75 and 5,923.32

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Solution

The fourth proportional to 11,465.88, 17,214.75 and 5,923.32 is: 8,893.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.88 : 17,214.75 = 5,923.32 : x
  2. Step 2: Convert to fraction form
    11,465.88/17,214.75 = 5,923.32/x
  3. Step 3: Cross multiply
    11,465.88x = 17,214.75 × 5,923.32
  4. Step 4: Simplify right side
    11,465.88x = 101,968,472.97
  5. Step 5: Solve for x
    x = 101,968,472.97/11,465.88
  6. Step 6: Final answer
    x = 8,893.21

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