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Finding the Fourth Proportional to 25,837.77, 38,757.39 and 7,118.07

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Solution

The fourth proportional to 25,837.77, 38,757.39 and 7,118.07 is: 10,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,837.77 : 38,757.39 = 7,118.07 : x
  2. Step 2: Convert to fraction form
    25,837.77/38,757.39 = 7,118.07/x
  3. Step 3: Cross multiply
    25,837.77x = 38,757.39 × 7,118.07
  4. Step 4: Simplify right side
    25,837.77x = 275,877,815.04
  5. Step 5: Solve for x
    x = 275,877,815.04/25,837.77
  6. Step 6: Final answer
    x = 10,677.31

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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.