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Finding the Fourth Proportional to 7,384.32, 10,193.76 and 6,372

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Solution

The fourth proportional to 7,384.32, 10,193.76 and 6,372 is: 8,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.32 : 10,193.76 = 6,372 : x
  2. Step 2: Convert to fraction form
    7,384.32/10,193.76 = 6,372/x
  3. Step 3: Cross multiply
    7,384.32x = 10,193.76 × 6,372
  4. Step 4: Simplify right side
    7,384.32x = 64,954,638.72
  5. Step 5: Solve for x
    x = 64,954,638.72/7,384.32
  6. Step 6: Final answer
    x = 8,796.29

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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.