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Finding the Fourth Proportional to 7,441.34, 11,162.01 and 2,509.64

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Solution

The fourth proportional to 7,441.34, 11,162.01 and 2,509.64 is: 3,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.34 : 11,162.01 = 2,509.64 : x
  2. Step 2: Convert to fraction form
    7,441.34/11,162.01 = 2,509.64/x
  3. Step 3: Cross multiply
    7,441.34x = 11,162.01 × 2,509.64
  4. Step 4: Simplify right side
    7,441.34x = 28,012,626.78
  5. Step 5: Solve for x
    x = 28,012,626.78/7,441.34
  6. Step 6: Final answer
    x = 3,764.46

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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.