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Finding the Fourth Proportional to 11,707.85, 17,563.52 and 4,311.74

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Solution

The fourth proportional to 11,707.85, 17,563.52 and 4,311.74 is: 6,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.85 : 17,563.52 = 4,311.74 : x
  2. Step 2: Convert to fraction form
    11,707.85/17,563.52 = 4,311.74/x
  3. Step 3: Cross multiply
    11,707.85x = 17,563.52 × 4,311.74
  4. Step 4: Simplify right side
    11,707.85x = 75,729,331.72
  5. Step 5: Solve for x
    x = 75,729,331.72/11,707.85
  6. Step 6: Final answer
    x = 6,468.25

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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.