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Finding the Fourth Proportional to 11,720.61, 16,174.42 and 6,415.43

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Solution

The fourth proportional to 11,720.61, 16,174.42 and 6,415.43 is: 8,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.61 : 16,174.42 = 6,415.43 : x
  2. Step 2: Convert to fraction form
    11,720.61/16,174.42 = 6,415.43/x
  3. Step 3: Cross multiply
    11,720.61x = 16,174.42 × 6,415.43
  4. Step 4: Simplify right side
    11,720.61x = 103,765,762.39
  5. Step 5: Solve for x
    x = 103,765,762.39/11,720.61
  6. Step 6: Final answer
    x = 8,853.27

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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.