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Finding the Fourth Proportional to 11,647.36, 16,069.36 and 6,611.20

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Solution

The fourth proportional to 11,647.36, 16,069.36 and 6,611.20 is: 9,121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.36 : 16,069.36 = 6,611.20 : x
  2. Step 2: Convert to fraction form
    11,647.36/16,069.36 = 6,611.20/x
  3. Step 3: Cross multiply
    11,647.36x = 16,069.36 × 6,611.20
  4. Step 4: Simplify right side
    11,647.36x = 106,237,752.83
  5. Step 5: Solve for x
    x = 106,237,752.83/11,647.36
  6. Step 6: Final answer
    x = 9,121.19

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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.