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Finding the Fourth Proportional to 10,796.52, 16,183.98 and 4,560

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Solution

The fourth proportional to 10,796.52, 16,183.98 and 4,560 is: 6,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.52 : 16,183.98 = 4,560 : x
  2. Step 2: Convert to fraction form
    10,796.52/16,183.98 = 4,560/x
  3. Step 3: Cross multiply
    10,796.52x = 16,183.98 × 4,560
  4. Step 4: Simplify right side
    10,796.52x = 73,798,948.80
  5. Step 5: Solve for x
    x = 73,798,948.80/10,796.52
  6. Step 6: Final answer
    x = 6,835.44

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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.