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Finding the Fourth Proportional to 7,140.99, 10,712.49 and 2,211.06

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Solution

The fourth proportional to 7,140.99, 10,712.49 and 2,211.06 is: 3,316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.99 : 10,712.49 = 2,211.06 : x
  2. Step 2: Convert to fraction form
    7,140.99/10,712.49 = 2,211.06/x
  3. Step 3: Cross multiply
    7,140.99x = 10,712.49 × 2,211.06
  4. Step 4: Simplify right side
    7,140.99x = 23,685,958.14
  5. Step 5: Solve for x
    x = 23,685,958.14/7,140.99
  6. Step 6: Final answer
    x = 3,316.90

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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.