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Finding the Fourth Proportional to 8,124.46, 11,212.98 and 5,896.44

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Solution

The fourth proportional to 8,124.46, 11,212.98 and 5,896.44 is: 8,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.46 : 11,212.98 = 5,896.44 : x
  2. Step 2: Convert to fraction form
    8,124.46/11,212.98 = 5,896.44/x
  3. Step 3: Cross multiply
    8,124.46x = 11,212.98 × 5,896.44
  4. Step 4: Simplify right side
    8,124.46x = 66,116,663.79
  5. Step 5: Solve for x
    x = 66,116,663.79/8,124.46
  6. Step 6: Final answer
    x = 8,137.98

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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.