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Finding the Fourth Proportional to 10,684.41, 14,732.48 and 6,902.58

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Solution

The fourth proportional to 10,684.41, 14,732.48 and 6,902.58 is: 9,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.41 : 14,732.48 = 6,902.58 : x
  2. Step 2: Convert to fraction form
    10,684.41/14,732.48 = 6,902.58/x
  3. Step 3: Cross multiply
    10,684.41x = 14,732.48 × 6,902.58
  4. Step 4: Simplify right side
    10,684.41x = 101,692,194.30
  5. Step 5: Solve for x
    x = 101,692,194.30/10,684.41
  6. Step 6: Final answer
    x = 9,517.81

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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.