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Finding the Fourth Proportional to 10,172.16, 14,033.76 and 6,192

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Solution

The fourth proportional to 10,172.16, 14,033.76 and 6,192 is: 8,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.16 : 14,033.76 = 6,192 : x
  2. Step 2: Convert to fraction form
    10,172.16/14,033.76 = 6,192/x
  3. Step 3: Cross multiply
    10,172.16x = 14,033.76 × 6,192
  4. Step 4: Simplify right side
    10,172.16x = 86,897,041.92
  5. Step 5: Solve for x
    x = 86,897,041.92/10,172.16
  6. Step 6: Final answer
    x = 8,542.63

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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.