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Finding the Fourth Proportional to 11,643.63, 17,449.73 and 6,370.68

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Solution

The fourth proportional to 11,643.63, 17,449.73 and 6,370.68 is: 9,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.63 : 17,449.73 = 6,370.68 : x
  2. Step 2: Convert to fraction form
    11,643.63/17,449.73 = 6,370.68/x
  3. Step 3: Cross multiply
    11,643.63x = 17,449.73 × 6,370.68
  4. Step 4: Simplify right side
    11,643.63x = 111,166,614.06
  5. Step 5: Solve for x
    x = 111,166,614.06/11,643.63
  6. Step 6: Final answer
    x = 9,547.42

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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.