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Finding the Fourth Proportional to 8,494.48, 11,722.92 and 4,768.72

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Solution

The fourth proportional to 8,494.48, 11,722.92 and 4,768.72 is: 6,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.48 : 11,722.92 = 4,768.72 : x
  2. Step 2: Convert to fraction form
    8,494.48/11,722.92 = 4,768.72/x
  3. Step 3: Cross multiply
    8,494.48x = 11,722.92 × 4,768.72
  4. Step 4: Simplify right side
    8,494.48x = 55,903,323.06
  5. Step 5: Solve for x
    x = 55,903,323.06/8,494.48
  6. Step 6: Final answer
    x = 6,581.14

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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.