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Finding the Fourth Proportional to 6,745.08, 10,127.10 and 3,460.56

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Solution

The fourth proportional to 6,745.08, 10,127.10 and 3,460.56 is: 5,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.08 : 10,127.10 = 3,460.56 : x
  2. Step 2: Convert to fraction form
    6,745.08/10,127.10 = 3,460.56/x
  3. Step 3: Cross multiply
    6,745.08x = 10,127.10 × 3,460.56
  4. Step 4: Simplify right side
    6,745.08x = 35,045,437.18
  5. Step 5: Solve for x
    x = 35,045,437.18/6,745.08
  6. Step 6: Final answer
    x = 5,195.70

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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.