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Finding the Fourth Proportional to 11,829.36, 16,339.05 and 8,858.46

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Solution

The fourth proportional to 11,829.36, 16,339.05 and 8,858.46 is: 12,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.36 : 16,339.05 = 8,858.46 : x
  2. Step 2: Convert to fraction form
    11,829.36/16,339.05 = 8,858.46/x
  3. Step 3: Cross multiply
    11,829.36x = 16,339.05 × 8,858.46
  4. Step 4: Simplify right side
    11,829.36x = 144,738,820.86
  5. Step 5: Solve for x
    x = 144,738,820.86/11,829.36
  6. Step 6: Final answer
    x = 12,235.56

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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.