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Finding the Fourth Proportional to 11,775.56, 17,652.40 and 3,978.96

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Solution

The fourth proportional to 11,775.56, 17,652.40 and 3,978.96 is: 5,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.56 : 17,652.40 = 3,978.96 : x
  2. Step 2: Convert to fraction form
    11,775.56/17,652.40 = 3,978.96/x
  3. Step 3: Cross multiply
    11,775.56x = 17,652.40 × 3,978.96
  4. Step 4: Simplify right side
    11,775.56x = 70,238,193.50
  5. Step 5: Solve for x
    x = 70,238,193.50/11,775.56
  6. Step 6: Final answer
    x = 5,964.74

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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.