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Finding the Fourth Proportional to 7,573.84, 10,452.31 and 4,216.95

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Solution

The fourth proportional to 7,573.84, 10,452.31 and 4,216.95 is: 5,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.84 : 10,452.31 = 4,216.95 : x
  2. Step 2: Convert to fraction form
    7,573.84/10,452.31 = 4,216.95/x
  3. Step 3: Cross multiply
    7,573.84x = 10,452.31 × 4,216.95
  4. Step 4: Simplify right side
    7,573.84x = 44,076,847.57
  5. Step 5: Solve for x
    x = 44,076,847.57/7,573.84
  6. Step 6: Final answer
    x = 5,819.62

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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.