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Finding the Fourth Proportional to 11,760.84, 17,615.34 and 7,134.12

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Solution

The fourth proportional to 11,760.84, 17,615.34 and 7,134.12 is: 10,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.84 : 17,615.34 = 7,134.12 : x
  2. Step 2: Convert to fraction form
    11,760.84/17,615.34 = 7,134.12/x
  3. Step 3: Cross multiply
    11,760.84x = 17,615.34 × 7,134.12
  4. Step 4: Simplify right side
    11,760.84x = 125,669,949.40
  5. Step 5: Solve for x
    x = 125,669,949.40/11,760.84
  6. Step 6: Final answer
    x = 10,685.46

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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.