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Finding the Fourth Proportional to 7,647.76, 11,471.75 and 2,968.03

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Solution

The fourth proportional to 7,647.76, 11,471.75 and 2,968.03 is: 4,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.76 : 11,471.75 = 2,968.03 : x
  2. Step 2: Convert to fraction form
    7,647.76/11,471.75 = 2,968.03/x
  3. Step 3: Cross multiply
    7,647.76x = 11,471.75 × 2,968.03
  4. Step 4: Simplify right side
    7,647.76x = 34,048,498.15
  5. Step 5: Solve for x
    x = 34,048,498.15/7,647.76
  6. Step 6: Final answer
    x = 4,452.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.