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Finding the Fourth Proportional to 7,023, 10,535.56 and 2,640.76

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Solution

The fourth proportional to 7,023, 10,535.56 and 2,640.76 is: 3,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023 : 10,535.56 = 2,640.76 : x
  2. Step 2: Convert to fraction form
    7,023/10,535.56 = 2,640.76/x
  3. Step 3: Cross multiply
    7,023x = 10,535.56 × 2,640.76
  4. Step 4: Simplify right side
    7,023x = 27,821,885.43
  5. Step 5: Solve for x
    x = 27,821,885.43/7,023
  6. Step 6: Final answer
    x = 3,961.54

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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.