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Finding the Fourth Proportional to 8,146.18, 11,241.84 and 5,000.50

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Solution

The fourth proportional to 8,146.18, 11,241.84 and 5,000.50 is: 6,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.18 : 11,241.84 = 5,000.50 : x
  2. Step 2: Convert to fraction form
    8,146.18/11,241.84 = 5,000.50/x
  3. Step 3: Cross multiply
    8,146.18x = 11,241.84 × 5,000.50
  4. Step 4: Simplify right side
    8,146.18x = 56,214,820.92
  5. Step 5: Solve for x
    x = 56,214,820.92/8,146.18
  6. Step 6: Final answer
    x = 6,900.76

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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.