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Finding the Fourth Proportional to 10,583.12, 14,600.84 and 6,334.31

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Solution

The fourth proportional to 10,583.12, 14,600.84 and 6,334.31 is: 8,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.12 : 14,600.84 = 6,334.31 : x
  2. Step 2: Convert to fraction form
    10,583.12/14,600.84 = 6,334.31/x
  3. Step 3: Cross multiply
    10,583.12x = 14,600.84 × 6,334.31
  4. Step 4: Simplify right side
    10,583.12x = 92,486,142.14
  5. Step 5: Solve for x
    x = 92,486,142.14/10,583.12
  6. Step 6: Final answer
    x = 8,739.03

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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.