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Finding the Fourth Proportional to 10,853.70, 16,280.55 and 10,197.60

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Solution

The fourth proportional to 10,853.70, 16,280.55 and 10,197.60 is: 15,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.70 : 16,280.55 = 10,197.60 : x
  2. Step 2: Convert to fraction form
    10,853.70/16,280.55 = 10,197.60/x
  3. Step 3: Cross multiply
    10,853.70x = 16,280.55 × 10,197.60
  4. Step 4: Simplify right side
    10,853.70x = 166,022,536.68
  5. Step 5: Solve for x
    x = 166,022,536.68/10,853.70
  6. Step 6: Final answer
    x = 15,296.40

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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.