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Finding the Fourth Proportional to 11,494.68, 17,254.17 and 5,655.39

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Solution

The fourth proportional to 11,494.68, 17,254.17 and 5,655.39 is: 8,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.68 : 17,254.17 = 5,655.39 : x
  2. Step 2: Convert to fraction form
    11,494.68/17,254.17 = 5,655.39/x
  3. Step 3: Cross multiply
    11,494.68x = 17,254.17 × 5,655.39
  4. Step 4: Simplify right side
    11,494.68x = 97,579,060.48
  5. Step 5: Solve for x
    x = 97,579,060.48/11,494.68
  6. Step 6: Final answer
    x = 8,489.06

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Why These Related Problems?

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