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Finding the Fourth Proportional to 8,141.89, 11,235.84 and 4,415.89

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Solution

The fourth proportional to 8,141.89, 11,235.84 and 4,415.89 is: 6,093.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.89 : 11,235.84 = 4,415.89 : x
  2. Step 2: Convert to fraction form
    8,141.89/11,235.84 = 4,415.89/x
  3. Step 3: Cross multiply
    8,141.89x = 11,235.84 × 4,415.89
  4. Step 4: Simplify right side
    8,141.89x = 49,616,233.50
  5. Step 5: Solve for x
    x = 49,616,233.50/8,141.89
  6. Step 6: Final answer
    x = 6,093.95

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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.