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Finding the Fourth Proportional to 8,224.35, 11,349.59 and 4,447.51

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Solution

The fourth proportional to 8,224.35, 11,349.59 and 4,447.51 is: 6,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.35 : 11,349.59 = 4,447.51 : x
  2. Step 2: Convert to fraction form
    8,224.35/11,349.59 = 4,447.51/x
  3. Step 3: Cross multiply
    8,224.35x = 11,349.59 × 4,447.51
  4. Step 4: Simplify right side
    8,224.35x = 50,477,358.27
  5. Step 5: Solve for x
    x = 50,477,358.27/8,224.35
  6. Step 6: Final answer
    x = 6,137.55

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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.