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Finding the Fourth Proportional to 11,622.05, 16,040.75 and 6,905.42

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Solution

The fourth proportional to 11,622.05, 16,040.75 and 6,905.42 is: 9,530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.05 : 16,040.75 = 6,905.42 : x
  2. Step 2: Convert to fraction form
    11,622.05/16,040.75 = 6,905.42/x
  3. Step 3: Cross multiply
    11,622.05x = 16,040.75 × 6,905.42
  4. Step 4: Simplify right side
    11,622.05x = 110,768,001.13
  5. Step 5: Solve for x
    x = 110,768,001.13/11,622.05
  6. Step 6: Final answer
    x = 9,530.85

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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.