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Finding the Fourth Proportional to 7,450, 11,176.60 and 2,519.40

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Solution

The fourth proportional to 7,450, 11,176.60 and 2,519.40 is: 3,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450 : 11,176.60 = 2,519.40 : x
  2. Step 2: Convert to fraction form
    7,450/11,176.60 = 2,519.40/x
  3. Step 3: Cross multiply
    7,450x = 11,176.60 × 2,519.40
  4. Step 4: Simplify right side
    7,450x = 28,158,326.04
  5. Step 5: Solve for x
    x = 28,158,326.04/7,450
  6. Step 6: Final answer
    x = 3,779.64

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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.