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Finding the Fourth Proportional to 11,216.16, 16,821.44 and 4,644.16

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Solution

The fourth proportional to 11,216.16, 16,821.44 and 4,644.16 is: 6,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.16 : 16,821.44 = 4,644.16 : x
  2. Step 2: Convert to fraction form
    11,216.16/16,821.44 = 4,644.16/x
  3. Step 3: Cross multiply
    11,216.16x = 16,821.44 × 4,644.16
  4. Step 4: Simplify right side
    11,216.16x = 78,121,458.79
  5. Step 5: Solve for x
    x = 78,121,458.79/11,216.16
  6. Step 6: Final answer
    x = 6,965.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.