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Finding the Fourth Proportional to 11,973.48, 17,960.22 and 5,732.02

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Solution

The fourth proportional to 11,973.48, 17,960.22 and 5,732.02 is: 8,598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.48 : 17,960.22 = 5,732.02 : x
  2. Step 2: Convert to fraction form
    11,973.48/17,960.22 = 5,732.02/x
  3. Step 3: Cross multiply
    11,973.48x = 17,960.22 × 5,732.02
  4. Step 4: Simplify right side
    11,973.48x = 102,948,340.24
  5. Step 5: Solve for x
    x = 102,948,340.24/11,973.48
  6. Step 6: Final answer
    x = 8,598.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.