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Finding the Fourth Proportional to 10,802.22, 14,906.87 and 6,086.40

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Solution

The fourth proportional to 10,802.22, 14,906.87 and 6,086.40 is: 8,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.22 : 14,906.87 = 6,086.40 : x
  2. Step 2: Convert to fraction form
    10,802.22/14,906.87 = 6,086.40/x
  3. Step 3: Cross multiply
    10,802.22x = 14,906.87 × 6,086.40
  4. Step 4: Simplify right side
    10,802.22x = 90,729,173.57
  5. Step 5: Solve for x
    x = 90,729,173.57/10,802.22
  6. Step 6: Final answer
    x = 8,399.12

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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.