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Finding the Fourth Proportional to 12,902.52, 17,805.48 and 7,313.52

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Solution

The fourth proportional to 12,902.52, 17,805.48 and 7,313.52 is: 10,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.52 : 17,805.48 = 7,313.52 : x
  2. Step 2: Convert to fraction form
    12,902.52/17,805.48 = 7,313.52/x
  3. Step 3: Cross multiply
    12,902.52x = 17,805.48 × 7,313.52
  4. Step 4: Simplify right side
    12,902.52x = 130,220,734.09
  5. Step 5: Solve for x
    x = 130,220,734.09/12,902.52
  6. Step 6: Final answer
    x = 10,092.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.