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Finding the Fourth Proportional to 7,427.80, 10,254.12 and 5,745.40

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Solution

The fourth proportional to 7,427.80, 10,254.12 and 5,745.40 is: 7,931.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.80 : 10,254.12 = 5,745.40 : x
  2. Step 2: Convert to fraction form
    7,427.80/10,254.12 = 5,745.40/x
  3. Step 3: Cross multiply
    7,427.80x = 10,254.12 × 5,745.40
  4. Step 4: Simplify right side
    7,427.80x = 58,914,021.05
  5. Step 5: Solve for x
    x = 58,914,021.05/7,427.80
  6. Step 6: Final answer
    x = 7,931.56

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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.