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Finding the Fourth Proportional to 8,186.50, 11,297.37 and 4,460.50

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Solution

The fourth proportional to 8,186.50, 11,297.37 and 4,460.50 is: 6,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.50 : 11,297.37 = 4,460.50 : x
  2. Step 2: Convert to fraction form
    8,186.50/11,297.37 = 4,460.50/x
  3. Step 3: Cross multiply
    8,186.50x = 11,297.37 × 4,460.50
  4. Step 4: Simplify right side
    8,186.50x = 50,391,918.89
  5. Step 5: Solve for x
    x = 50,391,918.89/8,186.50
  6. Step 6: Final answer
    x = 6,155.49

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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.