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Finding the Fourth Proportional to 10,200.53, 14,047.83 and 8,855.53

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Solution

The fourth proportional to 10,200.53, 14,047.83 and 8,855.53 is: 12,195.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.53 : 14,047.83 = 8,855.53 : x
  2. Step 2: Convert to fraction form
    10,200.53/14,047.83 = 8,855.53/x
  3. Step 3: Cross multiply
    10,200.53x = 14,047.83 × 8,855.53
  4. Step 4: Simplify right side
    10,200.53x = 124,400,944.88
  5. Step 5: Solve for x
    x = 124,400,944.88/10,200.53
  6. Step 6: Final answer
    x = 12,195.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.