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Finding the Fourth Proportional to 7,697.60, 10,622.67 and 4,160.81

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Solution

The fourth proportional to 7,697.60, 10,622.67 and 4,160.81 is: 5,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.60 : 10,622.67 = 4,160.81 : x
  2. Step 2: Convert to fraction form
    7,697.60/10,622.67 = 4,160.81/x
  3. Step 3: Cross multiply
    7,697.60x = 10,622.67 × 4,160.81
  4. Step 4: Simplify right side
    7,697.60x = 44,198,858.45
  5. Step 5: Solve for x
    x = 44,198,858.45/7,697.60
  6. Step 6: Final answer
    x = 5,741.90

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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.