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Finding the Fourth Proportional to 7,575.73, 10,454.37 and 4,218.78

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Solution

The fourth proportional to 7,575.73, 10,454.37 and 4,218.78 is: 5,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.73 : 10,454.37 = 4,218.78 : x
  2. Step 2: Convert to fraction form
    7,575.73/10,454.37 = 4,218.78/x
  3. Step 3: Cross multiply
    7,575.73x = 10,454.37 × 4,218.78
  4. Step 4: Simplify right side
    7,575.73x = 44,104,710.45
  5. Step 5: Solve for x
    x = 44,104,710.45/7,575.73
  6. Step 6: Final answer
    x = 5,821.84

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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.