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Finding the Fourth Proportional to 12,833.28, 17,710.02 and 7,528.20

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Solution

The fourth proportional to 12,833.28, 17,710.02 and 7,528.20 is: 10,388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.28 : 17,710.02 = 7,528.20 : x
  2. Step 2: Convert to fraction form
    12,833.28/17,710.02 = 7,528.20/x
  3. Step 3: Cross multiply
    12,833.28x = 17,710.02 × 7,528.20
  4. Step 4: Simplify right side
    12,833.28x = 133,324,572.56
  5. Step 5: Solve for x
    x = 133,324,572.56/12,833.28
  6. Step 6: Final answer
    x = 10,388.97

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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.