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Finding the Fourth Proportional to 7,726.56, 11,588 and 3,563.96

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Solution

The fourth proportional to 7,726.56, 11,588 and 3,563.96 is: 5,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.56 : 11,588 = 3,563.96 : x
  2. Step 2: Convert to fraction form
    7,726.56/11,588 = 3,563.96/x
  3. Step 3: Cross multiply
    7,726.56x = 11,588 × 3,563.96
  4. Step 4: Simplify right side
    7,726.56x = 41,299,168.48
  5. Step 5: Solve for x
    x = 41,299,168.48/7,726.56
  6. Step 6: Final answer
    x = 5,345.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.