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Finding the Fourth Proportional to 10,677.12, 14,735.33 and 5,962.31

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Solution

The fourth proportional to 10,677.12, 14,735.33 and 5,962.31 is: 8,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.12 : 14,735.33 = 5,962.31 : x
  2. Step 2: Convert to fraction form
    10,677.12/14,735.33 = 5,962.31/x
  3. Step 3: Cross multiply
    10,677.12x = 14,735.33 × 5,962.31
  4. Step 4: Simplify right side
    10,677.12x = 87,856,621.30
  5. Step 5: Solve for x
    x = 87,856,621.30/10,677.12
  6. Step 6: Final answer
    x = 8,228.50

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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.