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Finding the Fourth Proportional to 10,201.06, 14,077.71 and 5,725.16

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Solution

The fourth proportional to 10,201.06, 14,077.71 and 5,725.16 is: 7,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.06 : 14,077.71 = 5,725.16 : x
  2. Step 2: Convert to fraction form
    10,201.06/14,077.71 = 5,725.16/x
  3. Step 3: Cross multiply
    10,201.06x = 14,077.71 × 5,725.16
  4. Step 4: Simplify right side
    10,201.06x = 80,597,177.38
  5. Step 5: Solve for x
    x = 80,597,177.38/10,201.06
  6. Step 6: Final answer
    x = 7,900.86

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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.