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Finding the Fourth Proportional to 10,735.73, 14,811.82 and 6,961.84

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Solution

The fourth proportional to 10,735.73, 14,811.82 and 6,961.84 is: 9,605.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.73 : 14,811.82 = 6,961.84 : x
  2. Step 2: Convert to fraction form
    10,735.73/14,811.82 = 6,961.84/x
  3. Step 3: Cross multiply
    10,735.73x = 14,811.82 × 6,961.84
  4. Step 4: Simplify right side
    10,735.73x = 103,117,520.95
  5. Step 5: Solve for x
    x = 103,117,520.95/10,735.73
  6. Step 6: Final answer
    x = 9,605.08

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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.