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Finding the Fourth Proportional to 11,554.31, 17,331.41 and 3,657.60

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Solution

The fourth proportional to 11,554.31, 17,331.41 and 3,657.60 is: 5,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.31 : 17,331.41 = 3,657.60 : x
  2. Step 2: Convert to fraction form
    11,554.31/17,331.41 = 3,657.60/x
  3. Step 3: Cross multiply
    11,554.31x = 17,331.41 × 3,657.60
  4. Step 4: Simplify right side
    11,554.31x = 63,391,374.36
  5. Step 5: Solve for x
    x = 63,391,374.36/11,554.31
  6. Step 6: Final answer
    x = 5,486.38

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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.