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Finding the Fourth Proportional to 8,814.31, 12,165.87 and 5,986.40

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Solution

The fourth proportional to 8,814.31, 12,165.87 and 5,986.40 is: 8,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.31 : 12,165.87 = 5,986.40 : x
  2. Step 2: Convert to fraction form
    8,814.31/12,165.87 = 5,986.40/x
  3. Step 3: Cross multiply
    8,814.31x = 12,165.87 × 5,986.40
  4. Step 4: Simplify right side
    8,814.31x = 72,829,764.17
  5. Step 5: Solve for x
    x = 72,829,764.17/8,814.31
  6. Step 6: Final answer
    x = 8,262.67

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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.