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Finding the Fourth Proportional to 7,454.80, 10,286.20 and 4,801.68

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Solution

The fourth proportional to 7,454.80, 10,286.20 and 4,801.68 is: 6,625.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.80 : 10,286.20 = 4,801.68 : x
  2. Step 2: Convert to fraction form
    7,454.80/10,286.20 = 4,801.68/x
  3. Step 3: Cross multiply
    7,454.80x = 10,286.20 × 4,801.68
  4. Step 4: Simplify right side
    7,454.80x = 49,391,040.82
  5. Step 5: Solve for x
    x = 49,391,040.82/7,454.80
  6. Step 6: Final answer
    x = 6,625.40

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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.