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Finding the Fourth Proportional to 10,682, 14,734.68 and 6,899.12

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Solution

The fourth proportional to 10,682, 14,734.68 and 6,899.12 is: 9,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682 : 14,734.68 = 6,899.12 : x
  2. Step 2: Convert to fraction form
    10,682/14,734.68 = 6,899.12/x
  3. Step 3: Cross multiply
    10,682x = 14,734.68 × 6,899.12
  4. Step 4: Simplify right side
    10,682x = 101,656,325.48
  5. Step 5: Solve for x
    x = 101,656,325.48/10,682
  6. Step 6: Final answer
    x = 9,516.60

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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.