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Finding the Fourth Proportional to 7,647.28, 10,556.12 and 6,581.12

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Solution

The fourth proportional to 7,647.28, 10,556.12 and 6,581.12 is: 9,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.28 : 10,556.12 = 6,581.12 : x
  2. Step 2: Convert to fraction form
    7,647.28/10,556.12 = 6,581.12/x
  3. Step 3: Cross multiply
    7,647.28x = 10,556.12 × 6,581.12
  4. Step 4: Simplify right side
    7,647.28x = 69,471,056.13
  5. Step 5: Solve for x
    x = 69,471,056.13/7,647.28
  6. Step 6: Final answer
    x = 9,084.42

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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.