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Finding the Fourth Proportional to 7,697.64, 10,622.82 and 4,160.92

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Solution

The fourth proportional to 7,697.64, 10,622.82 and 4,160.92 is: 5,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.64 : 10,622.82 = 4,160.92 : x
  2. Step 2: Convert to fraction form
    7,697.64/10,622.82 = 4,160.92/x
  3. Step 3: Cross multiply
    7,697.64x = 10,622.82 × 4,160.92
  4. Step 4: Simplify right side
    7,697.64x = 44,200,704.19
  5. Step 5: Solve for x
    x = 44,200,704.19/7,697.64
  6. Step 6: Final answer
    x = 5,742.11

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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.