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Finding the Fourth Proportional to 10,202, 14,077.66 and 5,951.92

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Solution

The fourth proportional to 10,202, 14,077.66 and 5,951.92 is: 8,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202 : 14,077.66 = 5,951.92 : x
  2. Step 2: Convert to fraction form
    10,202/14,077.66 = 5,951.92/x
  3. Step 3: Cross multiply
    10,202x = 14,077.66 × 5,951.92
  4. Step 4: Simplify right side
    10,202x = 83,789,106.11
  5. Step 5: Solve for x
    x = 83,789,106.11/10,202
  6. Step 6: Final answer
    x = 8,213.01

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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.