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Finding the Fourth Proportional to 11,173.36, 15,419 and 6,137.64

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Solution

The fourth proportional to 11,173.36, 15,419 and 6,137.64 is: 8,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,173.36 : 15,419 = 6,137.64 : x
  2. Step 2: Convert to fraction form
    11,173.36/15,419 = 6,137.64/x
  3. Step 3: Cross multiply
    11,173.36x = 15,419 × 6,137.64
  4. Step 4: Simplify right side
    11,173.36x = 94,636,271.16
  5. Step 5: Solve for x
    x = 94,636,271.16/11,173.36
  6. Step 6: Final answer
    x = 8,469.81

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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.