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Finding the Fourth Proportional to 8,142.40, 11,230.68 and 4,999.60

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Solution

The fourth proportional to 8,142.40, 11,230.68 and 4,999.60 is: 6,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.40 : 11,230.68 = 4,999.60 : x
  2. Step 2: Convert to fraction form
    8,142.40/11,230.68 = 4,999.60/x
  3. Step 3: Cross multiply
    8,142.40x = 11,230.68 × 4,999.60
  4. Step 4: Simplify right side
    8,142.40x = 56,148,907.73
  5. Step 5: Solve for x
    x = 56,148,907.73/8,142.40
  6. Step 6: Final answer
    x = 6,895.87

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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.