Home / 10,420.38-14,380.12-5,704.76

Finding the Fourth Proportional to 10,420.38, 14,380.12 and 5,704.76

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Solution

The fourth proportional to 10,420.38, 14,380.12 and 5,704.76 is: 7,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.38 : 14,380.12 = 5,704.76 : x
  2. Step 2: Convert to fraction form
    10,420.38/14,380.12 = 5,704.76/x
  3. Step 3: Cross multiply
    10,420.38x = 14,380.12 × 5,704.76
  4. Step 4: Simplify right side
    10,420.38x = 82,035,133.37
  5. Step 5: Solve for x
    x = 82,035,133.37/10,420.38
  6. Step 6: Final answer
    x = 7,872.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.