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Finding the Fourth Proportional to 10,728, 14,803.44 and 6,011.60

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Solution

The fourth proportional to 10,728, 14,803.44 and 6,011.60 is: 8,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728 : 14,803.44 = 6,011.60 : x
  2. Step 2: Convert to fraction form
    10,728/14,803.44 = 6,011.60/x
  3. Step 3: Cross multiply
    10,728x = 14,803.44 × 6,011.60
  4. Step 4: Simplify right side
    10,728x = 88,992,359.90
  5. Step 5: Solve for x
    x = 88,992,359.90/10,728
  6. Step 6: Final answer
    x = 8,295.34

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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.