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Finding the Fourth Proportional to 7,181.12, 10,763.70 and 3,019.90

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Solution

The fourth proportional to 7,181.12, 10,763.70 and 3,019.90 is: 4,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.12 : 10,763.70 = 3,019.90 : x
  2. Step 2: Convert to fraction form
    7,181.12/10,763.70 = 3,019.90/x
  3. Step 3: Cross multiply
    7,181.12x = 10,763.70 × 3,019.90
  4. Step 4: Simplify right side
    7,181.12x = 32,505,297.63
  5. Step 5: Solve for x
    x = 32,505,297.63/7,181.12
  6. Step 6: Final answer
    x = 4,526.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.