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Finding the Fourth Proportional to 10,105.57, 13,958.76 and 8,703.46

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Solution

The fourth proportional to 10,105.57, 13,958.76 and 8,703.46 is: 12,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.57 : 13,958.76 = 8,703.46 : x
  2. Step 2: Convert to fraction form
    10,105.57/13,958.76 = 8,703.46/x
  3. Step 3: Cross multiply
    10,105.57x = 13,958.76 × 8,703.46
  4. Step 4: Simplify right side
    10,105.57x = 121,489,509.31
  5. Step 5: Solve for x
    x = 121,489,509.31/10,105.57
  6. Step 6: Final answer
    x = 12,022.03

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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.