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Finding the Fourth Proportional to 8,516.53, 12,774.85 and 2,969.85

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Solution

The fourth proportional to 8,516.53, 12,774.85 and 2,969.85 is: 4,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.53 : 12,774.85 = 2,969.85 : x
  2. Step 2: Convert to fraction form
    8,516.53/12,774.85 = 2,969.85/x
  3. Step 3: Cross multiply
    8,516.53x = 12,774.85 × 2,969.85
  4. Step 4: Simplify right side
    8,516.53x = 37,939,423.32
  5. Step 5: Solve for x
    x = 37,939,423.32/8,516.53
  6. Step 6: Final answer
    x = 4,454.80

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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.