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Finding the Fourth Proportional to 13,099.86, 18,075.00 and 7,793.64

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Solution

The fourth proportional to 13,099.86, 18,075.00 and 7,793.64 is: 10,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.86 : 18,075.00 = 7,793.64 : x
  2. Step 2: Convert to fraction form
    13,099.86/18,075.00 = 7,793.64/x
  3. Step 3: Cross multiply
    13,099.86x = 18,075.00 × 7,793.64
  4. Step 4: Simplify right side
    13,099.86x = 140,870,072.23
  5. Step 5: Solve for x
    x = 140,870,072.23/13,099.86
  6. Step 6: Final answer
    x = 10,753.56

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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.