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Finding the Fourth Proportional to 12,578.29, 18,876.09 and 5,182.75

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Solution

The fourth proportional to 12,578.29, 18,876.09 and 5,182.75 is: 7,777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.29 : 18,876.09 = 5,182.75 : x
  2. Step 2: Convert to fraction form
    12,578.29/18,876.09 = 5,182.75/x
  3. Step 3: Cross multiply
    12,578.29x = 18,876.09 × 5,182.75
  4. Step 4: Simplify right side
    12,578.29x = 97,830,069.32
  5. Step 5: Solve for x
    x = 97,830,069.32/12,578.29
  6. Step 6: Final answer
    x = 7,777.69

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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.