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Finding the Fourth Proportional to 7,454.40, 11,175.12 and 4,862.40

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Solution

The fourth proportional to 7,454.40, 11,175.12 and 4,862.40 is: 7,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.40 : 11,175.12 = 4,862.40 : x
  2. Step 2: Convert to fraction form
    7,454.40/11,175.12 = 4,862.40/x
  3. Step 3: Cross multiply
    7,454.40x = 11,175.12 × 4,862.40
  4. Step 4: Simplify right side
    7,454.40x = 54,337,903.49
  5. Step 5: Solve for x
    x = 54,337,903.49/7,454.40
  6. Step 6: Final answer
    x = 7,289.37

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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.