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Finding the Fourth Proportional to 10,801.56, 16,202.34 and 5,596.50

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Solution

The fourth proportional to 10,801.56, 16,202.34 and 5,596.50 is: 8,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.56 : 16,202.34 = 5,596.50 : x
  2. Step 2: Convert to fraction form
    10,801.56/16,202.34 = 5,596.50/x
  3. Step 3: Cross multiply
    10,801.56x = 16,202.34 × 5,596.50
  4. Step 4: Simplify right side
    10,801.56x = 90,676,395.81
  5. Step 5: Solve for x
    x = 90,676,395.81/10,801.56
  6. Step 6: Final answer
    x = 8,394.75

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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.