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Finding the Fourth Proportional to 6,845.51, 10,269.80 and 2,165.80

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Solution

The fourth proportional to 6,845.51, 10,269.80 and 2,165.80 is: 3,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.51 : 10,269.80 = 2,165.80 : x
  2. Step 2: Convert to fraction form
    6,845.51/10,269.80 = 2,165.80/x
  3. Step 3: Cross multiply
    6,845.51x = 10,269.80 × 2,165.80
  4. Step 4: Simplify right side
    6,845.51x = 22,242,312.58
  5. Step 5: Solve for x
    x = 22,242,312.58/6,845.51
  6. Step 6: Final answer
    x = 3,249.19

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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.