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Finding the Fourth Proportional to 7,575.87, 10,454.82 and 4,218.69

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Solution

The fourth proportional to 7,575.87, 10,454.82 and 4,218.69 is: 5,821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.87 : 10,454.82 = 4,218.69 : x
  2. Step 2: Convert to fraction form
    7,575.87/10,454.82 = 4,218.69/x
  3. Step 3: Cross multiply
    7,575.87x = 10,454.82 × 4,218.69
  4. Step 4: Simplify right side
    7,575.87x = 44,105,644.59
  5. Step 5: Solve for x
    x = 44,105,644.59/7,575.87
  6. Step 6: Final answer
    x = 5,821.86

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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.