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Finding the Fourth Proportional to 10,736.79, 14,815.06 and 6,965.12

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Solution

The fourth proportional to 10,736.79, 14,815.06 and 6,965.12 is: 9,610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,736.79 : 14,815.06 = 6,965.12 : x
  2. Step 2: Convert to fraction form
    10,736.79/14,815.06 = 6,965.12/x
  3. Step 3: Cross multiply
    10,736.79x = 14,815.06 × 6,965.12
  4. Step 4: Simplify right side
    10,736.79x = 103,188,690.33
  5. Step 5: Solve for x
    x = 103,188,690.33/10,736.79
  6. Step 6: Final answer
    x = 9,610.76

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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.