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Finding the Fourth Proportional to 8,339.74, 11,504.22 and 5,352.22

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Solution

The fourth proportional to 8,339.74, 11,504.22 and 5,352.22 is: 7,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.74 : 11,504.22 = 5,352.22 : x
  2. Step 2: Convert to fraction form
    8,339.74/11,504.22 = 5,352.22/x
  3. Step 3: Cross multiply
    8,339.74x = 11,504.22 × 5,352.22
  4. Step 4: Simplify right side
    8,339.74x = 61,573,116.37
  5. Step 5: Solve for x
    x = 61,573,116.37/8,339.74
  6. Step 6: Final answer
    x = 7,383.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.