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Finding the Fourth Proportional to 8,559.72, 12,820.90 and 5,262.82

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Solution

The fourth proportional to 8,559.72, 12,820.90 and 5,262.82 is: 7,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559.72 : 12,820.90 = 5,262.82 : x
  2. Step 2: Convert to fraction form
    8,559.72/12,820.90 = 5,262.82/x
  3. Step 3: Cross multiply
    8,559.72x = 12,820.90 × 5,262.82
  4. Step 4: Simplify right side
    8,559.72x = 67,474,088.94
  5. Step 5: Solve for x
    x = 67,474,088.94/8,559.72
  6. Step 6: Final answer
    x = 7,882.74

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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.