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Finding the Fourth Proportional to 11,451.50, 15,797.27 and 7,141.05

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Solution

The fourth proportional to 11,451.50, 15,797.27 and 7,141.05 is: 9,851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.50 : 15,797.27 = 7,141.05 : x
  2. Step 2: Convert to fraction form
    11,451.50/15,797.27 = 7,141.05/x
  3. Step 3: Cross multiply
    11,451.50x = 15,797.27 × 7,141.05
  4. Step 4: Simplify right side
    11,451.50x = 112,809,094.93
  5. Step 5: Solve for x
    x = 112,809,094.93/11,451.50
  6. Step 6: Final answer
    x = 9,851.03

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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.