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Finding the Fourth Proportional to 11,308.28, 16,965.46 and 4,731

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Solution

The fourth proportional to 11,308.28, 16,965.46 and 4,731 is: 7,097.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.28 : 16,965.46 = 4,731 : x
  2. Step 2: Convert to fraction form
    11,308.28/16,965.46 = 4,731/x
  3. Step 3: Cross multiply
    11,308.28x = 16,965.46 × 4,731
  4. Step 4: Simplify right side
    11,308.28x = 80,263,591.26
  5. Step 5: Solve for x
    x = 80,263,591.26/11,308.28
  6. Step 6: Final answer
    x = 7,097.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.