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Finding the Fourth Proportional to 7,581.30, 11,363.04 and 3,416.46

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Solution

The fourth proportional to 7,581.30, 11,363.04 and 3,416.46 is: 5,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.30 : 11,363.04 = 3,416.46 : x
  2. Step 2: Convert to fraction form
    7,581.30/11,363.04 = 3,416.46/x
  3. Step 3: Cross multiply
    7,581.30x = 11,363.04 × 3,416.46
  4. Step 4: Simplify right side
    7,581.30x = 38,821,371.64
  5. Step 5: Solve for x
    x = 38,821,371.64/7,581.30
  6. Step 6: Final answer
    x = 5,120.67

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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.