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Finding the Fourth Proportional to 11,510.76, 17,266.51 and 3,190.86

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Solution

The fourth proportional to 11,510.76, 17,266.51 and 3,190.86 is: 4,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.76 : 17,266.51 = 3,190.86 : x
  2. Step 2: Convert to fraction form
    11,510.76/17,266.51 = 3,190.86/x
  3. Step 3: Cross multiply
    11,510.76x = 17,266.51 × 3,190.86
  4. Step 4: Simplify right side
    11,510.76x = 55,095,016.10
  5. Step 5: Solve for x
    x = 55,095,016.10/11,510.76
  6. Step 6: Final answer
    x = 4,786.39

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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.