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Finding the Fourth Proportional to 25,257.58, 37,891.80 and 7,726.84

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Solution

The fourth proportional to 25,257.58, 37,891.80 and 7,726.84 is: 11,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,257.58 : 37,891.80 = 7,726.84 : x
  2. Step 2: Convert to fraction form
    25,257.58/37,891.80 = 7,726.84/x
  3. Step 3: Cross multiply
    25,257.58x = 37,891.80 × 7,726.84
  4. Step 4: Simplify right side
    25,257.58x = 292,783,875.91
  5. Step 5: Solve for x
    x = 292,783,875.91/25,257.58
  6. Step 6: Final answer
    x = 11,591.92

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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.