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Finding the Fourth Proportional to 10,884.80, 16,333.32 and 4,644.14

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Solution

The fourth proportional to 10,884.80, 16,333.32 and 4,644.14 is: 6,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.80 : 16,333.32 = 4,644.14 : x
  2. Step 2: Convert to fraction form
    10,884.80/16,333.32 = 4,644.14/x
  3. Step 3: Cross multiply
    10,884.80x = 16,333.32 × 4,644.14
  4. Step 4: Simplify right side
    10,884.80x = 75,854,224.74
  5. Step 5: Solve for x
    x = 75,854,224.74/10,884.80
  6. Step 6: Final answer
    x = 6,968.82

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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.