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Finding the Fourth Proportional to 10,093.67, 13,926.09 and 7,111.15

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Solution

The fourth proportional to 10,093.67, 13,926.09 and 7,111.15 is: 9,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.67 : 13,926.09 = 7,111.15 : x
  2. Step 2: Convert to fraction form
    10,093.67/13,926.09 = 7,111.15/x
  3. Step 3: Cross multiply
    10,093.67x = 13,926.09 × 7,111.15
  4. Step 4: Simplify right side
    10,093.67x = 99,030,514.90
  5. Step 5: Solve for x
    x = 99,030,514.90/10,093.67
  6. Step 6: Final answer
    x = 9,811.15

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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.