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Finding the Fourth Proportional to 7,574.46, 10,447.83 and 4,429.50

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Solution

The fourth proportional to 7,574.46, 10,447.83 and 4,429.50 is: 6,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.46 : 10,447.83 = 4,429.50 : x
  2. Step 2: Convert to fraction form
    7,574.46/10,447.83 = 4,429.50/x
  3. Step 3: Cross multiply
    7,574.46x = 10,447.83 × 4,429.50
  4. Step 4: Simplify right side
    7,574.46x = 46,278,662.99
  5. Step 5: Solve for x
    x = 46,278,662.99/7,574.46
  6. Step 6: Final answer
    x = 6,109.83

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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.