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Finding the Fourth Proportional to 12,767.10, 17,618.55 and 7,460.87

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Solution

The fourth proportional to 12,767.10, 17,618.55 and 7,460.87 is: 10,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.10 : 17,618.55 = 7,460.87 : x
  2. Step 2: Convert to fraction form
    12,767.10/17,618.55 = 7,460.87/x
  3. Step 3: Cross multiply
    12,767.10x = 17,618.55 × 7,460.87
  4. Step 4: Simplify right side
    12,767.10x = 131,449,623.05
  5. Step 5: Solve for x
    x = 131,449,623.05/12,767.10
  6. Step 6: Final answer
    x = 10,295.97

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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.