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Finding the Fourth Proportional to 11,720.56, 16,174.20 and 6,415.24

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Solution

The fourth proportional to 11,720.56, 16,174.20 and 6,415.24 is: 8,852.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.56 : 16,174.20 = 6,415.24 : x
  2. Step 2: Convert to fraction form
    11,720.56/16,174.20 = 6,415.24/x
  3. Step 3: Cross multiply
    11,720.56x = 16,174.20 × 6,415.24
  4. Step 4: Simplify right side
    11,720.56x = 103,761,374.81
  5. Step 5: Solve for x
    x = 103,761,374.81/11,720.56
  6. Step 6: Final answer
    x = 8,852.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.