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Finding the Fourth Proportional to 10,202.81, 15,306.78 and 4,940.34

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Solution

The fourth proportional to 10,202.81, 15,306.78 and 4,940.34 is: 7,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.81 : 15,306.78 = 4,940.34 : x
  2. Step 2: Convert to fraction form
    10,202.81/15,306.78 = 4,940.34/x
  3. Step 3: Cross multiply
    10,202.81x = 15,306.78 × 4,940.34
  4. Step 4: Simplify right side
    10,202.81x = 75,620,697.51
  5. Step 5: Solve for x
    x = 75,620,697.51/10,202.81
  6. Step 6: Final answer
    x = 7,411.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.