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Finding the Fourth Proportional to 8,525.32, 12,771.58 and 7,222.76

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Solution

The fourth proportional to 8,525.32, 12,771.58 and 7,222.76 is: 10,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.32 : 12,771.58 = 7,222.76 : x
  2. Step 2: Convert to fraction form
    8,525.32/12,771.58 = 7,222.76/x
  3. Step 3: Cross multiply
    8,525.32x = 12,771.58 × 7,222.76
  4. Step 4: Simplify right side
    8,525.32x = 92,246,057.16
  5. Step 5: Solve for x
    x = 92,246,057.16/8,525.32
  6. Step 6: Final answer
    x = 10,820.25

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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.