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Finding the Fourth Proportional to 7,114.68, 10,672.44 and 2,184.36

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Solution

The fourth proportional to 7,114.68, 10,672.44 and 2,184.36 is: 3,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.68 : 10,672.44 = 2,184.36 : x
  2. Step 2: Convert to fraction form
    7,114.68/10,672.44 = 2,184.36/x
  3. Step 3: Cross multiply
    7,114.68x = 10,672.44 × 2,184.36
  4. Step 4: Simplify right side
    7,114.68x = 23,312,451.04
  5. Step 5: Solve for x
    x = 23,312,451.04/7,114.68
  6. Step 6: Final answer
    x = 3,276.67

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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.