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Finding the Fourth Proportional to 6,351.40, 8,760.72 and 5,023

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Solution

The fourth proportional to 6,351.40, 8,760.72 and 5,023 is: 6,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.40 : 8,760.72 = 5,023 : x
  2. Step 2: Convert to fraction form
    6,351.40/8,760.72 = 5,023/x
  3. Step 3: Cross multiply
    6,351.40x = 8,760.72 × 5,023
  4. Step 4: Simplify right side
    6,351.40x = 44,005,096.56
  5. Step 5: Solve for x
    x = 44,005,096.56/6,351.40
  6. Step 6: Final answer
    x = 6,928.41

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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.