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Finding the Fourth Proportional to 10,883.80, 16,331.46 and 4,644.76

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Solution

The fourth proportional to 10,883.80, 16,331.46 and 4,644.76 is: 6,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.80 : 16,331.46 = 4,644.76 : x
  2. Step 2: Convert to fraction form
    10,883.80/16,331.46 = 4,644.76/x
  3. Step 3: Cross multiply
    10,883.80x = 16,331.46 × 4,644.76
  4. Step 4: Simplify right side
    10,883.80x = 75,855,712.15
  5. Step 5: Solve for x
    x = 75,855,712.15/10,883.80
  6. Step 6: Final answer
    x = 6,969.60

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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.