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Finding the Fourth Proportional to 10,505.46, 14,493.48 and 6,027.60

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Solution

The fourth proportional to 10,505.46, 14,493.48 and 6,027.60 is: 8,315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.46 : 14,493.48 = 6,027.60 : x
  2. Step 2: Convert to fraction form
    10,505.46/14,493.48 = 6,027.60/x
  3. Step 3: Cross multiply
    10,505.46x = 14,493.48 × 6,027.60
  4. Step 4: Simplify right side
    10,505.46x = 87,360,900.05
  5. Step 5: Solve for x
    x = 87,360,900.05/10,505.46
  6. Step 6: Final answer
    x = 8,315.76

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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.