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Finding the Fourth Proportional to 10,665.18, 14,716.98 and 6,189.12

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Solution

The fourth proportional to 10,665.18, 14,716.98 and 6,189.12 is: 8,540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.18 : 14,716.98 = 6,189.12 : x
  2. Step 2: Convert to fraction form
    10,665.18/14,716.98 = 6,189.12/x
  3. Step 3: Cross multiply
    10,665.18x = 14,716.98 × 6,189.12
  4. Step 4: Simplify right side
    10,665.18x = 91,085,155.26
  5. Step 5: Solve for x
    x = 91,085,155.26/10,665.18
  6. Step 6: Final answer
    x = 8,540.42

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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.