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Finding the Fourth Proportional to 7,700.30, 10,626.41 and 4,163.50

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Solution

The fourth proportional to 7,700.30, 10,626.41 and 4,163.50 is: 5,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.30 : 10,626.41 = 4,163.50 : x
  2. Step 2: Convert to fraction form
    7,700.30/10,626.41 = 4,163.50/x
  3. Step 3: Cross multiply
    7,700.30x = 10,626.41 × 4,163.50
  4. Step 4: Simplify right side
    7,700.30x = 44,243,089.81
  5. Step 5: Solve for x
    x = 44,243,089.81/7,700.30
  6. Step 6: Final answer
    x = 5,745.64

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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.