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Finding the Fourth Proportional to 10,906.14, 15,053.88 and 6,193.56

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Solution

The fourth proportional to 10,906.14, 15,053.88 and 6,193.56 is: 8,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.14 : 15,053.88 = 6,193.56 : x
  2. Step 2: Convert to fraction form
    10,906.14/15,053.88 = 6,193.56/x
  3. Step 3: Cross multiply
    10,906.14x = 15,053.88 × 6,193.56
  4. Step 4: Simplify right side
    10,906.14x = 93,237,109.01
  5. Step 5: Solve for x
    x = 93,237,109.01/10,906.14
  6. Step 6: Final answer
    x = 8,549.05

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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.