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Finding the Fourth Proportional to 11,899.51, 17,812.26 and 8,783.03

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Solution

The fourth proportional to 11,899.51, 17,812.26 and 8,783.03 is: 13,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.51 : 17,812.26 = 8,783.03 : x
  2. Step 2: Convert to fraction form
    11,899.51/17,812.26 = 8,783.03/x
  3. Step 3: Cross multiply
    11,899.51x = 17,812.26 × 8,783.03
  4. Step 4: Simplify right side
    11,899.51x = 156,445,613.95
  5. Step 5: Solve for x
    x = 156,445,613.95/11,899.51
  6. Step 6: Final answer
    x = 13,147.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.