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Finding the Fourth Proportional to 11,657.63, 16,090.56 and 7,185.07

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Solution

The fourth proportional to 11,657.63, 16,090.56 and 7,185.07 is: 9,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.63 : 16,090.56 = 7,185.07 : x
  2. Step 2: Convert to fraction form
    11,657.63/16,090.56 = 7,185.07/x
  3. Step 3: Cross multiply
    11,657.63x = 16,090.56 × 7,185.07
  4. Step 4: Simplify right side
    11,657.63x = 115,611,799.94
  5. Step 5: Solve for x
    x = 115,611,799.94/11,657.63
  6. Step 6: Final answer
    x = 9,917.26

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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.