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Finding the Fourth Proportional to 7,283.28, 10,906.38 and 4,814.40

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Solution

The fourth proportional to 7,283.28, 10,906.38 and 4,814.40 is: 7,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.28 : 10,906.38 = 4,814.40 : x
  2. Step 2: Convert to fraction form
    7,283.28/10,906.38 = 4,814.40/x
  3. Step 3: Cross multiply
    7,283.28x = 10,906.38 × 4,814.40
  4. Step 4: Simplify right side
    7,283.28x = 52,507,675.87
  5. Step 5: Solve for x
    x = 52,507,675.87/7,283.28
  6. Step 6: Final answer
    x = 7,209.34

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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.