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Finding the Fourth Proportional to 7,463.87, 10,299.92 and 4,106.68

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Solution

The fourth proportional to 7,463.87, 10,299.92 and 4,106.68 is: 5,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.87 : 10,299.92 = 4,106.68 : x
  2. Step 2: Convert to fraction form
    7,463.87/10,299.92 = 4,106.68/x
  3. Step 3: Cross multiply
    7,463.87x = 10,299.92 × 4,106.68
  4. Step 4: Simplify right side
    7,463.87x = 42,298,403.43
  5. Step 5: Solve for x
    x = 42,298,403.43/7,463.87
  6. Step 6: Final answer
    x = 5,667.09

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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.