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Finding the Fourth Proportional to 6,745.77, 10,113.39 and 4,280.13

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Solution

The fourth proportional to 6,745.77, 10,113.39 and 4,280.13 is: 6,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.77 : 10,113.39 = 4,280.13 : x
  2. Step 2: Convert to fraction form
    6,745.77/10,113.39 = 4,280.13/x
  3. Step 3: Cross multiply
    6,745.77x = 10,113.39 × 4,280.13
  4. Step 4: Simplify right side
    6,745.77x = 43,286,623.94
  5. Step 5: Solve for x
    x = 43,286,623.94/6,745.77
  6. Step 6: Final answer
    x = 6,416.85

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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.