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Finding the Fourth Proportional to 8,269.77, 11,412.87 and 4,684.70

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Solution

The fourth proportional to 8,269.77, 11,412.87 and 4,684.70 is: 6,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.77 : 11,412.87 = 4,684.70 : x
  2. Step 2: Convert to fraction form
    8,269.77/11,412.87 = 4,684.70/x
  3. Step 3: Cross multiply
    8,269.77x = 11,412.87 × 4,684.70
  4. Step 4: Simplify right side
    8,269.77x = 53,465,883.05
  5. Step 5: Solve for x
    x = 53,465,883.05/8,269.77
  6. Step 6: Final answer
    x = 6,465.22

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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.