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Finding the Fourth Proportional to 8,516.84, 12,776.46 and 3,583.40

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Solution

The fourth proportional to 8,516.84, 12,776.46 and 3,583.40 is: 5,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.84 : 12,776.46 = 3,583.40 : x
  2. Step 2: Convert to fraction form
    8,516.84/12,776.46 = 3,583.40/x
  3. Step 3: Cross multiply
    8,516.84x = 12,776.46 × 3,583.40
  4. Step 4: Simplify right side
    8,516.84x = 45,783,166.76
  5. Step 5: Solve for x
    x = 45,783,166.76/8,516.84
  6. Step 6: Final answer
    x = 5,375.60

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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.