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Finding the Fourth Proportional to 7,690.77, 10,617.35 and 6,161.69

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Solution

The fourth proportional to 7,690.77, 10,617.35 and 6,161.69 is: 8,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.77 : 10,617.35 = 6,161.69 : x
  2. Step 2: Convert to fraction form
    7,690.77/10,617.35 = 6,161.69/x
  3. Step 3: Cross multiply
    7,690.77x = 10,617.35 × 6,161.69
  4. Step 4: Simplify right side
    7,690.77x = 65,420,815.06
  5. Step 5: Solve for x
    x = 65,420,815.06/7,690.77
  6. Step 6: Final answer
    x = 8,506.41

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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.