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Finding the Fourth Proportional to 7,014.75, 10,522.17 and 1,820.67

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Solution

The fourth proportional to 7,014.75, 10,522.17 and 1,820.67 is: 2,731.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.75 : 10,522.17 = 1,820.67 : x
  2. Step 2: Convert to fraction form
    7,014.75/10,522.17 = 1,820.67/x
  3. Step 3: Cross multiply
    7,014.75x = 10,522.17 × 1,820.67
  4. Step 4: Simplify right side
    7,014.75x = 19,157,399.25
  5. Step 5: Solve for x
    x = 19,157,399.25/7,014.75
  6. Step 6: Final answer
    x = 2,731.02

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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.