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Finding the Fourth Proportional to 11,720.18, 16,173.94 and 6,415.08

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Solution

The fourth proportional to 11,720.18, 16,173.94 and 6,415.08 is: 8,852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.18 : 16,173.94 = 6,415.08 : x
  2. Step 2: Convert to fraction form
    11,720.18/16,173.94 = 6,415.08/x
  3. Step 3: Cross multiply
    11,720.18x = 16,173.94 × 6,415.08
  4. Step 4: Simplify right side
    11,720.18x = 103,757,119.02
  5. Step 5: Solve for x
    x = 103,757,119.02/11,720.18
  6. Step 6: Final answer
    x = 8,852.86

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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.