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Finding the Fourth Proportional to 10,765.97, 14,861.60 and 10,093.40

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Solution

The fourth proportional to 10,765.97, 14,861.60 and 10,093.40 is: 13,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.97 : 14,861.60 = 10,093.40 : x
  2. Step 2: Convert to fraction form
    10,765.97/14,861.60 = 10,093.40/x
  3. Step 3: Cross multiply
    10,765.97x = 14,861.60 × 10,093.40
  4. Step 4: Simplify right side
    10,765.97x = 150,004,097.98
  5. Step 5: Solve for x
    x = 150,004,097.98/10,765.97
  6. Step 6: Final answer
    x = 13,933.17

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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.