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Finding the Fourth Proportional to 11,548.83, 17,323.71 and 6,616.26

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Solution

The fourth proportional to 11,548.83, 17,323.71 and 6,616.26 is: 9,924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.83 : 17,323.71 = 6,616.26 : x
  2. Step 2: Convert to fraction form
    11,548.83/17,323.71 = 6,616.26/x
  3. Step 3: Cross multiply
    11,548.83x = 17,323.71 × 6,616.26
  4. Step 4: Simplify right side
    11,548.83x = 114,618,169.52
  5. Step 5: Solve for x
    x = 114,618,169.52/11,548.83
  6. Step 6: Final answer
    x = 9,924.66

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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.