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Finding the Fourth Proportional to 7,273.98, 10,038 and 4,129.97

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Solution

The fourth proportional to 7,273.98, 10,038 and 4,129.97 is: 5,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,273.98 : 10,038 = 4,129.97 : x
  2. Step 2: Convert to fraction form
    7,273.98/10,038 = 4,129.97/x
  3. Step 3: Cross multiply
    7,273.98x = 10,038 × 4,129.97
  4. Step 4: Simplify right side
    7,273.98x = 41,456,588.67
  5. Step 5: Solve for x
    x = 41,456,588.67/7,273.98
  6. Step 6: Final answer
    x = 5,699.30

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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.