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Finding the Fourth Proportional to 10,807.96, 16,197.80 and 5,538.50

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Solution

The fourth proportional to 10,807.96, 16,197.80 and 5,538.50 is: 8,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.96 : 16,197.80 = 5,538.50 : x
  2. Step 2: Convert to fraction form
    10,807.96/16,197.80 = 5,538.50/x
  3. Step 3: Cross multiply
    10,807.96x = 16,197.80 × 5,538.50
  4. Step 4: Simplify right side
    10,807.96x = 89,711,515.30
  5. Step 5: Solve for x
    x = 89,711,515.30/10,807.96
  6. Step 6: Final answer
    x = 8,300.51

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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.