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Finding the Fourth Proportional to 8,813.06, 13,209.51 and 3,612.50

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Solution

The fourth proportional to 8,813.06, 13,209.51 and 3,612.50 is: 5,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.06 : 13,209.51 = 3,612.50 : x
  2. Step 2: Convert to fraction form
    8,813.06/13,209.51 = 3,612.50/x
  3. Step 3: Cross multiply
    8,813.06x = 13,209.51 × 3,612.50
  4. Step 4: Simplify right side
    8,813.06x = 47,719,354.88
  5. Step 5: Solve for x
    x = 47,719,354.88/8,813.06
  6. Step 6: Final answer
    x = 5,414.62

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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.