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Finding the Fourth Proportional to 10,682.40, 14,741.98 and 5,967.02

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Solution

The fourth proportional to 10,682.40, 14,741.98 and 5,967.02 is: 8,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.40 : 14,741.98 = 5,967.02 : x
  2. Step 2: Convert to fraction form
    10,682.40/14,741.98 = 5,967.02/x
  3. Step 3: Cross multiply
    10,682.40x = 14,741.98 × 5,967.02
  4. Step 4: Simplify right side
    10,682.40x = 87,965,689.50
  5. Step 5: Solve for x
    x = 87,965,689.50/10,682.40
  6. Step 6: Final answer
    x = 8,234.64

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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.