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Finding the Fourth Proportional to 11,763.43, 17,649.72 and 5,184.97

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Solution

The fourth proportional to 11,763.43, 17,649.72 and 5,184.97 is: 7,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.43 : 17,649.72 = 5,184.97 : x
  2. Step 2: Convert to fraction form
    11,763.43/17,649.72 = 5,184.97/x
  3. Step 3: Cross multiply
    11,763.43x = 17,649.72 × 5,184.97
  4. Step 4: Simplify right side
    11,763.43x = 91,513,268.71
  5. Step 5: Solve for x
    x = 91,513,268.71/11,763.43
  6. Step 6: Final answer
    x = 7,779.47

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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.