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Finding the Fourth Proportional to 11,397.96, 17,083.86 and 5,229

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Solution

The fourth proportional to 11,397.96, 17,083.86 and 5,229 is: 7,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.96 : 17,083.86 = 5,229 : x
  2. Step 2: Convert to fraction form
    11,397.96/17,083.86 = 5,229/x
  3. Step 3: Cross multiply
    11,397.96x = 17,083.86 × 5,229
  4. Step 4: Simplify right side
    11,397.96x = 89,331,503.94
  5. Step 5: Solve for x
    x = 89,331,503.94/11,397.96
  6. Step 6: Final answer
    x = 7,837.50

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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.