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Finding the Fourth Proportional to 7,578.85, 11,370.11 and 2,384.73

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Solution

The fourth proportional to 7,578.85, 11,370.11 and 2,384.73 is: 3,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.85 : 11,370.11 = 2,384.73 : x
  2. Step 2: Convert to fraction form
    7,578.85/11,370.11 = 2,384.73/x
  3. Step 3: Cross multiply
    7,578.85x = 11,370.11 × 2,384.73
  4. Step 4: Simplify right side
    7,578.85x = 27,114,642.42
  5. Step 5: Solve for x
    x = 27,114,642.42/7,578.85
  6. Step 6: Final answer
    x = 3,577.67

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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.