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Finding the Fourth Proportional to 7,574.79, 10,452.72 and 4,217.46

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Solution

The fourth proportional to 7,574.79, 10,452.72 and 4,217.46 is: 5,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.79 : 10,452.72 = 4,217.46 : x
  2. Step 2: Convert to fraction form
    7,574.79/10,452.72 = 4,217.46/x
  3. Step 3: Cross multiply
    7,574.79x = 10,452.72 × 4,217.46
  4. Step 4: Simplify right side
    7,574.79x = 44,083,928.49
  5. Step 5: Solve for x
    x = 44,083,928.49/7,574.79
  6. Step 6: Final answer
    x = 5,819.82

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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.