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Finding the Fourth Proportional to 8,250.90, 11,385.99 and 5,896.98

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Solution

The fourth proportional to 8,250.90, 11,385.99 and 5,896.98 is: 8,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250.90 : 11,385.99 = 5,896.98 : x
  2. Step 2: Convert to fraction form
    8,250.90/11,385.99 = 5,896.98/x
  3. Step 3: Cross multiply
    8,250.90x = 11,385.99 × 5,896.98
  4. Step 4: Simplify right side
    8,250.90x = 67,142,955.31
  5. Step 5: Solve for x
    x = 67,142,955.31/8,250.90
  6. Step 6: Final answer
    x = 8,137.65

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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.