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Finding the Fourth Proportional to 7,574.11, 10,451.03 and 4,216.84

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Solution

The fourth proportional to 7,574.11, 10,451.03 and 4,216.84 is: 5,818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.11 : 10,451.03 = 4,216.84 : x
  2. Step 2: Convert to fraction form
    7,574.11/10,451.03 = 4,216.84/x
  3. Step 3: Cross multiply
    7,574.11x = 10,451.03 × 4,216.84
  4. Step 4: Simplify right side
    7,574.11x = 44,070,274.13
  5. Step 5: Solve for x
    x = 44,070,274.13/7,574.11
  6. Step 6: Final answer
    x = 5,818.54

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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.