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Finding the Fourth Proportional to 11,701.20, 16,141.44 and 7,919.40

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Solution

The fourth proportional to 11,701.20, 16,141.44 and 7,919.40 is: 10,924.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.20 : 16,141.44 = 7,919.40 : x
  2. Step 2: Convert to fraction form
    11,701.20/16,141.44 = 7,919.40/x
  3. Step 3: Cross multiply
    11,701.20x = 16,141.44 × 7,919.40
  4. Step 4: Simplify right side
    11,701.20x = 127,830,519.94
  5. Step 5: Solve for x
    x = 127,830,519.94/11,701.20
  6. Step 6: Final answer
    x = 10,924.56

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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.