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Finding the Fourth Proportional to 11,077.70, 16,596.30 and 5,221.40

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Solution

The fourth proportional to 11,077.70, 16,596.30 and 5,221.40 is: 7,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.70 : 16,596.30 = 5,221.40 : x
  2. Step 2: Convert to fraction form
    11,077.70/16,596.30 = 5,221.40/x
  3. Step 3: Cross multiply
    11,077.70x = 16,596.30 × 5,221.40
  4. Step 4: Simplify right side
    11,077.70x = 86,655,920.82
  5. Step 5: Solve for x
    x = 86,655,920.82/11,077.70
  6. Step 6: Final answer
    x = 7,822.56

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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.