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Finding the Fourth Proportional to 6,476.07, 9,716.69 and 2,583.21

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Solution

The fourth proportional to 6,476.07, 9,716.69 and 2,583.21 is: 3,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.07 : 9,716.69 = 2,583.21 : x
  2. Step 2: Convert to fraction form
    6,476.07/9,716.69 = 2,583.21/x
  3. Step 3: Cross multiply
    6,476.07x = 9,716.69 × 2,583.21
  4. Step 4: Simplify right side
    6,476.07x = 25,100,237.86
  5. Step 5: Solve for x
    x = 25,100,237.86/6,476.07
  6. Step 6: Final answer
    x = 3,875.84

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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.