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Finding the Fourth Proportional to 8,684.28, 13,026.24 and 2,110.20

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Solution

The fourth proportional to 8,684.28, 13,026.24 and 2,110.20 is: 3,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.28 : 13,026.24 = 2,110.20 : x
  2. Step 2: Convert to fraction form
    8,684.28/13,026.24 = 2,110.20/x
  3. Step 3: Cross multiply
    8,684.28x = 13,026.24 × 2,110.20
  4. Step 4: Simplify right side
    8,684.28x = 27,487,971.65
  5. Step 5: Solve for x
    x = 27,487,971.65/8,684.28
  6. Step 6: Final answer
    x = 3,165.26

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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.