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Finding the Fourth Proportional to 11,901.81, 16,420.75 and 7,923.57

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Solution

The fourth proportional to 11,901.81, 16,420.75 and 7,923.57 is: 10,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.81 : 16,420.75 = 7,923.57 : x
  2. Step 2: Convert to fraction form
    11,901.81/16,420.75 = 7,923.57/x
  3. Step 3: Cross multiply
    11,901.81x = 16,420.75 × 7,923.57
  4. Step 4: Simplify right side
    11,901.81x = 130,110,962.08
  5. Step 5: Solve for x
    x = 130,110,962.08/11,901.81
  6. Step 6: Final answer
    x = 10,932.03

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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.