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Finding the Fourth Proportional to 11,009.28, 16,475.49 and 9,011.82

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Solution

The fourth proportional to 11,009.28, 16,475.49 and 9,011.82 is: 13,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.28 : 16,475.49 = 9,011.82 : x
  2. Step 2: Convert to fraction form
    11,009.28/16,475.49 = 9,011.82/x
  3. Step 3: Cross multiply
    11,009.28x = 16,475.49 × 9,011.82
  4. Step 4: Simplify right side
    11,009.28x = 148,474,150.29
  5. Step 5: Solve for x
    x = 148,474,150.29/11,009.28
  6. Step 6: Final answer
    x = 13,486.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.