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Finding the Fourth Proportional to 10,179, 14,047.02 and 5,763

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Solution

The fourth proportional to 10,179, 14,047.02 and 5,763 is: 7,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179 : 14,047.02 = 5,763 : x
  2. Step 2: Convert to fraction form
    10,179/14,047.02 = 5,763/x
  3. Step 3: Cross multiply
    10,179x = 14,047.02 × 5,763
  4. Step 4: Simplify right side
    10,179x = 80,952,976.26
  5. Step 5: Solve for x
    x = 80,952,976.26/10,179
  6. Step 6: Final answer
    x = 7,952.94

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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.