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Finding the Fourth Proportional to 11,627.28, 16,046.64 and 6,914.16

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Solution

The fourth proportional to 11,627.28, 16,046.64 and 6,914.16 is: 9,542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.28 : 16,046.64 = 6,914.16 : x
  2. Step 2: Convert to fraction form
    11,627.28/16,046.64 = 6,914.16/x
  3. Step 3: Cross multiply
    11,627.28x = 16,046.64 × 6,914.16
  4. Step 4: Simplify right side
    11,627.28x = 110,949,036.42
  5. Step 5: Solve for x
    x = 110,949,036.42/11,627.28
  6. Step 6: Final answer
    x = 9,542.13

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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.