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Finding the Fourth Proportional to 10,558.68, 14,571.90 and 6,313.56

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Solution

The fourth proportional to 10,558.68, 14,571.90 and 6,313.56 is: 8,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.68 : 14,571.90 = 6,313.56 : x
  2. Step 2: Convert to fraction form
    10,558.68/14,571.90 = 6,313.56/x
  3. Step 3: Cross multiply
    10,558.68x = 14,571.90 × 6,313.56
  4. Step 4: Simplify right side
    10,558.68x = 92,000,564.96
  5. Step 5: Solve for x
    x = 92,000,564.96/10,558.68
  6. Step 6: Final answer
    x = 8,713.26

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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.