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Finding the Fourth Proportional to 8,315.94, 11,464.97 and 6,894.26

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Solution

The fourth proportional to 8,315.94, 11,464.97 and 6,894.26 is: 9,504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.94 : 11,464.97 = 6,894.26 : x
  2. Step 2: Convert to fraction form
    8,315.94/11,464.97 = 6,894.26/x
  3. Step 3: Cross multiply
    8,315.94x = 11,464.97 × 6,894.26
  4. Step 4: Simplify right side
    8,315.94x = 79,042,484.07
  5. Step 5: Solve for x
    x = 79,042,484.07/8,315.94
  6. Step 6: Final answer
    x = 9,504.94

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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.