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Finding the Fourth Proportional to 8,494.36, 11,722.28 and 4,768.36

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Solution

The fourth proportional to 8,494.36, 11,722.28 and 4,768.36 is: 6,580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.36 : 11,722.28 = 4,768.36 : x
  2. Step 2: Convert to fraction form
    8,494.36/11,722.28 = 4,768.36/x
  3. Step 3: Cross multiply
    8,494.36x = 11,722.28 × 4,768.36
  4. Step 4: Simplify right side
    8,494.36x = 55,896,051.06
  5. Step 5: Solve for x
    x = 55,896,051.06/8,494.36
  6. Step 6: Final answer
    x = 6,580.37

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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.