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Finding the Fourth Proportional to 12,388.59, 17,096.77 and 7,083.41

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Solution

The fourth proportional to 12,388.59, 17,096.77 and 7,083.41 is: 9,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,388.59 : 17,096.77 = 7,083.41 : x
  2. Step 2: Convert to fraction form
    12,388.59/17,096.77 = 7,083.41/x
  3. Step 3: Cross multiply
    12,388.59x = 17,096.77 × 7,083.41
  4. Step 4: Simplify right side
    12,388.59x = 121,103,354.96
  5. Step 5: Solve for x
    x = 121,103,354.96/12,388.59
  6. Step 6: Final answer
    x = 9,775.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.