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Finding the Fourth Proportional to 7,463.51, 10,299.89 and 4,106.57

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Solution

The fourth proportional to 7,463.51, 10,299.89 and 4,106.57 is: 5,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.51 : 10,299.89 = 4,106.57 : x
  2. Step 2: Convert to fraction form
    7,463.51/10,299.89 = 4,106.57/x
  3. Step 3: Cross multiply
    7,463.51x = 10,299.89 × 4,106.57
  4. Step 4: Simplify right side
    7,463.51x = 42,297,147.25
  5. Step 5: Solve for x
    x = 42,297,147.25/7,463.51
  6. Step 6: Final answer
    x = 5,667.20

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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.