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Finding the Fourth Proportional to 10,145.28, 13,999.36 and 5,729.28

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Solution

The fourth proportional to 10,145.28, 13,999.36 and 5,729.28 is: 7,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.28 : 13,999.36 = 5,729.28 : x
  2. Step 2: Convert to fraction form
    10,145.28/13,999.36 = 5,729.28/x
  3. Step 3: Cross multiply
    10,145.28x = 13,999.36 × 5,729.28
  4. Step 4: Simplify right side
    10,145.28x = 80,206,253.26
  5. Step 5: Solve for x
    x = 80,206,253.26/10,145.28
  6. Step 6: Final answer
    x = 7,905.77

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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.