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Finding the Fourth Proportional to 11,656.86, 17,485.52 and 4,261.31

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Solution

The fourth proportional to 11,656.86, 17,485.52 and 4,261.31 is: 6,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.86 : 17,485.52 = 4,261.31 : x
  2. Step 2: Convert to fraction form
    11,656.86/17,485.52 = 4,261.31/x
  3. Step 3: Cross multiply
    11,656.86x = 17,485.52 × 4,261.31
  4. Step 4: Simplify right side
    11,656.86x = 74,511,202.04
  5. Step 5: Solve for x
    x = 74,511,202.04/11,656.86
  6. Step 6: Final answer
    x = 6,392.05

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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.