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Finding the Fourth Proportional to 7,454.19, 11,184.65 and 3,074.67

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Solution

The fourth proportional to 7,454.19, 11,184.65 and 3,074.67 is: 4,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.19 : 11,184.65 = 3,074.67 : x
  2. Step 2: Convert to fraction form
    7,454.19/11,184.65 = 3,074.67/x
  3. Step 3: Cross multiply
    7,454.19x = 11,184.65 × 3,074.67
  4. Step 4: Simplify right side
    7,454.19x = 34,389,092.44
  5. Step 5: Solve for x
    x = 34,389,092.44/7,454.19
  6. Step 6: Final answer
    x = 4,613.39

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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.