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Finding the Fourth Proportional to 7,643.63, 11,464.68 and 2,097.54

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Solution

The fourth proportional to 7,643.63, 11,464.68 and 2,097.54 is: 3,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.63 : 11,464.68 = 2,097.54 : x
  2. Step 2: Convert to fraction form
    7,643.63/11,464.68 = 2,097.54/x
  3. Step 3: Cross multiply
    7,643.63x = 11,464.68 × 2,097.54
  4. Step 4: Simplify right side
    7,643.63x = 24,047,567.56
  5. Step 5: Solve for x
    x = 24,047,567.56/7,643.63
  6. Step 6: Final answer
    x = 3,146.09

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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.