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Finding the Fourth Proportional to 8,523.80, 12,788.74 and 3,333.40

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Solution

The fourth proportional to 8,523.80, 12,788.74 and 3,333.40 is: 5,001.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.80 : 12,788.74 = 3,333.40 : x
  2. Step 2: Convert to fraction form
    8,523.80/12,788.74 = 3,333.40/x
  3. Step 3: Cross multiply
    8,523.80x = 12,788.74 × 3,333.40
  4. Step 4: Simplify right side
    8,523.80x = 42,629,985.92
  5. Step 5: Solve for x
    x = 42,629,985.92/8,523.80
  6. Step 6: Final answer
    x = 5,001.29

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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.