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Finding the Fourth Proportional to 7,186.08, 10,777.60 and 2,803.44

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Solution

The fourth proportional to 7,186.08, 10,777.60 and 2,803.44 is: 4,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.08 : 10,777.60 = 2,803.44 : x
  2. Step 2: Convert to fraction form
    7,186.08/10,777.60 = 2,803.44/x
  3. Step 3: Cross multiply
    7,186.08x = 10,777.60 × 2,803.44
  4. Step 4: Simplify right side
    7,186.08x = 30,214,354.94
  5. Step 5: Solve for x
    x = 30,214,354.94/7,186.08
  6. Step 6: Final answer
    x = 4,204.57

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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.