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Finding the Fourth Proportional to 7,574.13, 10,452.05 and 4,216.83

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Solution

The fourth proportional to 7,574.13, 10,452.05 and 4,216.83 is: 5,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.13 : 10,452.05 = 4,216.83 : x
  2. Step 2: Convert to fraction form
    7,574.13/10,452.05 = 4,216.83/x
  3. Step 3: Cross multiply
    7,574.13x = 10,452.05 × 4,216.83
  4. Step 4: Simplify right side
    7,574.13x = 44,074,496.92
  5. Step 5: Solve for x
    x = 44,074,496.92/7,574.13
  6. Step 6: Final answer
    x = 5,819.08

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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.