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Finding the Fourth Proportional to 8,142.50, 11,237.26 and 4,999.30

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Solution

The fourth proportional to 8,142.50, 11,237.26 and 4,999.30 is: 6,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.50 : 11,237.26 = 4,999.30 : x
  2. Step 2: Convert to fraction form
    8,142.50/11,237.26 = 4,999.30/x
  3. Step 3: Cross multiply
    8,142.50x = 11,237.26 × 4,999.30
  4. Step 4: Simplify right side
    8,142.50x = 56,178,433.92
  5. Step 5: Solve for x
    x = 56,178,433.92/8,142.50
  6. Step 6: Final answer
    x = 6,899.41

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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.