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Finding the Fourth Proportional to 7,640.42, 10,464.76 and 7,192.10

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Solution

The fourth proportional to 7,640.42, 10,464.76 and 7,192.10 is: 9,850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.42 : 10,464.76 = 7,192.10 : x
  2. Step 2: Convert to fraction form
    7,640.42/10,464.76 = 7,192.10/x
  3. Step 3: Cross multiply
    7,640.42x = 10,464.76 × 7,192.10
  4. Step 4: Simplify right side
    7,640.42x = 75,263,600.40
  5. Step 5: Solve for x
    x = 75,263,600.40/7,640.42
  6. Step 6: Final answer
    x = 9,850.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.