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Finding the Fourth Proportional to 8,215.50, 12,312.98 and 3,530

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Solution

The fourth proportional to 8,215.50, 12,312.98 and 3,530 is: 5,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.50 : 12,312.98 = 3,530 : x
  2. Step 2: Convert to fraction form
    8,215.50/12,312.98 = 3,530/x
  3. Step 3: Cross multiply
    8,215.50x = 12,312.98 × 3,530
  4. Step 4: Simplify right side
    8,215.50x = 43,464,819.40
  5. Step 5: Solve for x
    x = 43,464,819.40/8,215.50
  6. Step 6: Final answer
    x = 5,290.59

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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.