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Finding the Fourth Proportional to 8,172.63, 11,279.25 and 4,636.98

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Solution

The fourth proportional to 8,172.63, 11,279.25 and 4,636.98 is: 6,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.63 : 11,279.25 = 4,636.98 : x
  2. Step 2: Convert to fraction form
    8,172.63/11,279.25 = 4,636.98/x
  3. Step 3: Cross multiply
    8,172.63x = 11,279.25 × 4,636.98
  4. Step 4: Simplify right side
    8,172.63x = 52,301,656.67
  5. Step 5: Solve for x
    x = 52,301,656.67/8,172.63
  6. Step 6: Final answer
    x = 6,399.61

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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.