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Finding the Fourth Proportional to 11,657.37, 17,474.20 and 4,642.35

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Solution

The fourth proportional to 11,657.37, 17,474.20 and 4,642.35 is: 6,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.37 : 17,474.20 = 4,642.35 : x
  2. Step 2: Convert to fraction form
    11,657.37/17,474.20 = 4,642.35/x
  3. Step 3: Cross multiply
    11,657.37x = 17,474.20 × 4,642.35
  4. Step 4: Simplify right side
    11,657.37x = 81,121,352.37
  5. Step 5: Solve for x
    x = 81,121,352.37/11,657.37
  6. Step 6: Final answer
    x = 6,958.80

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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.