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Finding the Fourth Proportional to 11,720.48, 16,173.86 and 6,415.18

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Solution

The fourth proportional to 11,720.48, 16,173.86 and 6,415.18 is: 8,852.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.48 : 16,173.86 = 6,415.18 : x
  2. Step 2: Convert to fraction form
    11,720.48/16,173.86 = 6,415.18/x
  3. Step 3: Cross multiply
    11,720.48x = 16,173.86 × 6,415.18
  4. Step 4: Simplify right side
    11,720.48x = 103,758,223.19
  5. Step 5: Solve for x
    x = 103,758,223.19/11,720.48
  6. Step 6: Final answer
    x = 8,852.73

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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.