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Finding the Fourth Proportional to 11,709.45, 16,164.62 and 7,235.82

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Solution

The fourth proportional to 11,709.45, 16,164.62 and 7,235.82 is: 9,988.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.45 : 16,164.62 = 7,235.82 : x
  2. Step 2: Convert to fraction form
    11,709.45/16,164.62 = 7,235.82/x
  3. Step 3: Cross multiply
    11,709.45x = 16,164.62 × 7,235.82
  4. Step 4: Simplify right side
    11,709.45x = 116,964,244.51
  5. Step 5: Solve for x
    x = 116,964,244.51/11,709.45
  6. Step 6: Final answer
    x = 9,988.88

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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.