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Finding the Fourth Proportional to 7,726.79, 11,591 and 2,533.07

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Solution

The fourth proportional to 7,726.79, 11,591 and 2,533.07 is: 3,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.79 : 11,591 = 2,533.07 : x
  2. Step 2: Convert to fraction form
    7,726.79/11,591 = 2,533.07/x
  3. Step 3: Cross multiply
    7,726.79x = 11,591 × 2,533.07
  4. Step 4: Simplify right side
    7,726.79x = 29,360,814.37
  5. Step 5: Solve for x
    x = 29,360,814.37/7,726.79
  6. Step 6: Final answer
    x = 3,799.87

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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.