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Finding the Fourth Proportional to 6,172.63, 8,514.29 and 4,048.29

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Solution

The fourth proportional to 6,172.63, 8,514.29 and 4,048.29 is: 5,584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.63 : 8,514.29 = 4,048.29 : x
  2. Step 2: Convert to fraction form
    6,172.63/8,514.29 = 4,048.29/x
  3. Step 3: Cross multiply
    6,172.63x = 8,514.29 × 4,048.29
  4. Step 4: Simplify right side
    6,172.63x = 34,468,325.18
  5. Step 5: Solve for x
    x = 34,468,325.18/6,172.63
  6. Step 6: Final answer
    x = 5,584.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.