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Finding the Fourth Proportional to 10,321.92, 14,238.72 and 7,172.64

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Solution

The fourth proportional to 10,321.92, 14,238.72 and 7,172.64 is: 9,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.92 : 14,238.72 = 7,172.64 : x
  2. Step 2: Convert to fraction form
    10,321.92/14,238.72 = 7,172.64/x
  3. Step 3: Cross multiply
    10,321.92x = 14,238.72 × 7,172.64
  4. Step 4: Simplify right side
    10,321.92x = 102,129,212.62
  5. Step 5: Solve for x
    x = 102,129,212.62/10,321.92
  6. Step 6: Final answer
    x = 9,894.40

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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.