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Finding the Fourth Proportional to 11,905.63, 16,422.29 and 7,662.20

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Solution

The fourth proportional to 11,905.63, 16,422.29 and 7,662.20 is: 10,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.63 : 16,422.29 = 7,662.20 : x
  2. Step 2: Convert to fraction form
    11,905.63/16,422.29 = 7,662.20/x
  3. Step 3: Cross multiply
    11,905.63x = 16,422.29 × 7,662.20
  4. Step 4: Simplify right side
    11,905.63x = 125,830,821.85
  5. Step 5: Solve for x
    x = 125,830,821.85/11,905.63
  6. Step 6: Final answer
    x = 10,569.02

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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.