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Finding the Fourth Proportional to 7,463.66, 10,300.11 and 4,106.73

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Solution

The fourth proportional to 7,463.66, 10,300.11 and 4,106.73 is: 5,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.66 : 10,300.11 = 4,106.73 : x
  2. Step 2: Convert to fraction form
    7,463.66/10,300.11 = 4,106.73/x
  3. Step 3: Cross multiply
    7,463.66x = 10,300.11 × 4,106.73
  4. Step 4: Simplify right side
    7,463.66x = 42,299,770.74
  5. Step 5: Solve for x
    x = 42,299,770.74/7,463.66
  6. Step 6: Final answer
    x = 5,667.43

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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.