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Finding the Fourth Proportional to 10,279.80, 15,427.17 and 7,945.65

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Solution

The fourth proportional to 10,279.80, 15,427.17 and 7,945.65 is: 11,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.80 : 15,427.17 = 7,945.65 : x
  2. Step 2: Convert to fraction form
    10,279.80/15,427.17 = 7,945.65/x
  3. Step 3: Cross multiply
    10,279.80x = 15,427.17 × 7,945.65
  4. Step 4: Simplify right side
    10,279.80x = 122,578,893.31
  5. Step 5: Solve for x
    x = 122,578,893.31/10,279.80
  6. Step 6: Final answer
    x = 11,924.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.