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Finding the Fourth Proportional to 10,449.58, 14,420.70 and 5,911.90

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Solution

The fourth proportional to 10,449.58, 14,420.70 and 5,911.90 is: 8,158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.58 : 14,420.70 = 5,911.90 : x
  2. Step 2: Convert to fraction form
    10,449.58/14,420.70 = 5,911.90/x
  3. Step 3: Cross multiply
    10,449.58x = 14,420.70 × 5,911.90
  4. Step 4: Simplify right side
    10,449.58x = 85,253,736.33
  5. Step 5: Solve for x
    x = 85,253,736.33/10,449.58
  6. Step 6: Final answer
    x = 8,158.58

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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.