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Finding the Fourth Proportional to 11,510.68, 17,264.31 and 3,189.83

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Solution

The fourth proportional to 11,510.68, 17,264.31 and 3,189.83 is: 4,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.68 : 17,264.31 = 3,189.83 : x
  2. Step 2: Convert to fraction form
    11,510.68/17,264.31 = 3,189.83/x
  3. Step 3: Cross multiply
    11,510.68x = 17,264.31 × 3,189.83
  4. Step 4: Simplify right side
    11,510.68x = 55,070,176.20
  5. Step 5: Solve for x
    x = 55,070,176.20/11,510.68
  6. Step 6: Final answer
    x = 4,784.27

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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.