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Finding the Fourth Proportional to 7,433.34, 11,147.88 and 2,991

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Solution

The fourth proportional to 7,433.34, 11,147.88 and 2,991 is: 4,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433.34 : 11,147.88 = 2,991 : x
  2. Step 2: Convert to fraction form
    7,433.34/11,147.88 = 2,991/x
  3. Step 3: Cross multiply
    7,433.34x = 11,147.88 × 2,991
  4. Step 4: Simplify right side
    7,433.34x = 33,343,309.08
  5. Step 5: Solve for x
    x = 33,343,309.08/7,433.34
  6. Step 6: Final answer
    x = 4,485.64

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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.