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Finding the Fourth Proportional to 7,694.37, 11,547.81 and 4,364.73

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Solution

The fourth proportional to 7,694.37, 11,547.81 and 4,364.73 is: 6,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.37 : 11,547.81 = 4,364.73 : x
  2. Step 2: Convert to fraction form
    7,694.37/11,547.81 = 4,364.73/x
  3. Step 3: Cross multiply
    7,694.37x = 11,547.81 × 4,364.73
  4. Step 4: Simplify right side
    7,694.37x = 50,403,072.74
  5. Step 5: Solve for x
    x = 50,403,072.74/7,694.37
  6. Step 6: Final answer
    x = 6,550.64

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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.