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Finding the Fourth Proportional to 10,811.14, 14,918.62 and 6,094.42

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Solution

The fourth proportional to 10,811.14, 14,918.62 and 6,094.42 is: 8,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.14 : 14,918.62 = 6,094.42 : x
  2. Step 2: Convert to fraction form
    10,811.14/14,918.62 = 6,094.42/x
  3. Step 3: Cross multiply
    10,811.14x = 14,918.62 × 6,094.42
  4. Step 4: Simplify right side
    10,811.14x = 90,920,246.27
  5. Step 5: Solve for x
    x = 90,920,246.27/10,811.14
  6. Step 6: Final answer
    x = 8,409.87

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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.