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Finding the Fourth Proportional to 10,967.20, 16,458.90 and 7,268.20

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Solution

The fourth proportional to 10,967.20, 16,458.90 and 7,268.20 is: 10,907.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.20 : 16,458.90 = 7,268.20 : x
  2. Step 2: Convert to fraction form
    10,967.20/16,458.90 = 7,268.20/x
  3. Step 3: Cross multiply
    10,967.20x = 16,458.90 × 7,268.20
  4. Step 4: Simplify right side
    10,967.20x = 119,626,576.98
  5. Step 5: Solve for x
    x = 119,626,576.98/10,967.20
  6. Step 6: Final answer
    x = 10,907.67

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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.