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Finding the Fourth Proportional to 10,130.94, 13,983.03 and 5,940.54

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Solution

The fourth proportional to 10,130.94, 13,983.03 and 5,940.54 is: 8,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.94 : 13,983.03 = 5,940.54 : x
  2. Step 2: Convert to fraction form
    10,130.94/13,983.03 = 5,940.54/x
  3. Step 3: Cross multiply
    10,130.94x = 13,983.03 × 5,940.54
  4. Step 4: Simplify right side
    10,130.94x = 83,066,749.04
  5. Step 5: Solve for x
    x = 83,066,749.04/10,130.94
  6. Step 6: Final answer
    x = 8,199.31

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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.