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Finding the Fourth Proportional to 10,808.22, 14,914.28 and 7,977.12

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Solution

The fourth proportional to 10,808.22, 14,914.28 and 7,977.12 is: 11,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.22 : 14,914.28 = 7,977.12 : x
  2. Step 2: Convert to fraction form
    10,808.22/14,914.28 = 7,977.12/x
  3. Step 3: Cross multiply
    10,808.22x = 14,914.28 × 7,977.12
  4. Step 4: Simplify right side
    10,808.22x = 118,972,961.39
  5. Step 5: Solve for x
    x = 118,972,961.39/10,808.22
  6. Step 6: Final answer
    x = 11,007.64

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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.