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Finding the Fourth Proportional to 11,029.88, 15,206.33 and 7,486.94

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Solution

The fourth proportional to 11,029.88, 15,206.33 and 7,486.94 is: 10,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,029.88 : 15,206.33 = 7,486.94 : x
  2. Step 2: Convert to fraction form
    11,029.88/15,206.33 = 7,486.94/x
  3. Step 3: Cross multiply
    11,029.88x = 15,206.33 × 7,486.94
  4. Step 4: Simplify right side
    11,029.88x = 113,848,937.06
  5. Step 5: Solve for x
    x = 113,848,937.06/11,029.88
  6. Step 6: Final answer
    x = 10,321.86

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