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Finding the Fourth Proportional to 11,709.74, 17,571.54 and 4,319.40

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Solution

The fourth proportional to 11,709.74, 17,571.54 and 4,319.40 is: 6,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.74 : 17,571.54 = 4,319.40 : x
  2. Step 2: Convert to fraction form
    11,709.74/17,571.54 = 4,319.40/x
  3. Step 3: Cross multiply
    11,709.74x = 17,571.54 × 4,319.40
  4. Step 4: Simplify right side
    11,709.74x = 75,898,509.88
  5. Step 5: Solve for x
    x = 75,898,509.88/11,709.74
  6. Step 6: Final answer
    x = 6,481.66

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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.