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Finding the Fourth Proportional to 7,140.68, 10,709.98 and 2,213.64

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Solution

The fourth proportional to 7,140.68, 10,709.98 and 2,213.64 is: 3,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.68 : 10,709.98 = 2,213.64 : x
  2. Step 2: Convert to fraction form
    7,140.68/10,709.98 = 2,213.64/x
  3. Step 3: Cross multiply
    7,140.68x = 10,709.98 × 2,213.64
  4. Step 4: Simplify right side
    7,140.68x = 23,708,040.13
  5. Step 5: Solve for x
    x = 23,708,040.13/7,140.68
  6. Step 6: Final answer
    x = 3,320.14

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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.