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Finding the Fourth Proportional to 11,657.52, 16,083.96 and 6,940.08

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Solution

The fourth proportional to 11,657.52, 16,083.96 and 6,940.08 is: 9,575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.52 : 16,083.96 = 6,940.08 : x
  2. Step 2: Convert to fraction form
    11,657.52/16,083.96 = 6,940.08/x
  3. Step 3: Cross multiply
    11,657.52x = 16,083.96 × 6,940.08
  4. Step 4: Simplify right side
    11,657.52x = 111,623,969.12
  5. Step 5: Solve for x
    x = 111,623,969.12/11,657.52
  6. Step 6: Final answer
    x = 9,575.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.