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Finding the Fourth Proportional to 8,561.62, 12,841.64 and 3,014.67

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Solution

The fourth proportional to 8,561.62, 12,841.64 and 3,014.67 is: 4,521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.62 : 12,841.64 = 3,014.67 : x
  2. Step 2: Convert to fraction form
    8,561.62/12,841.64 = 3,014.67/x
  3. Step 3: Cross multiply
    8,561.62x = 12,841.64 × 3,014.67
  4. Step 4: Simplify right side
    8,561.62x = 38,713,306.86
  5. Step 5: Solve for x
    x = 38,713,306.86/8,561.62
  6. Step 6: Final answer
    x = 4,521.73

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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.