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Finding the Fourth Proportional to 7,221.61, 10,847.76 and 6,800.28

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Solution

The fourth proportional to 7,221.61, 10,847.76 and 6,800.28 is: 10,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.61 : 10,847.76 = 6,800.28 : x
  2. Step 2: Convert to fraction form
    7,221.61/10,847.76 = 6,800.28/x
  3. Step 3: Cross multiply
    7,221.61x = 10,847.76 × 6,800.28
  4. Step 4: Simplify right side
    7,221.61x = 73,767,805.37
  5. Step 5: Solve for x
    x = 73,767,805.37/7,221.61
  6. Step 6: Final answer
    x = 10,214.87

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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.