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Finding the Fourth Proportional to 8,749.36, 12,072.24 and 5,213.74

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Solution

The fourth proportional to 8,749.36, 12,072.24 and 5,213.74 is: 7,193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.36 : 12,072.24 = 5,213.74 : x
  2. Step 2: Convert to fraction form
    8,749.36/12,072.24 = 5,213.74/x
  3. Step 3: Cross multiply
    8,749.36x = 12,072.24 × 5,213.74
  4. Step 4: Simplify right side
    8,749.36x = 62,941,520.58
  5. Step 5: Solve for x
    x = 62,941,520.58/8,749.36
  6. Step 6: Final answer
    x = 7,193.84

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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.