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Finding the Fourth Proportional to 8,354.53, 12,532.10 and 2,808.06

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Solution

The fourth proportional to 8,354.53, 12,532.10 and 2,808.06 is: 4,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.53 : 12,532.10 = 2,808.06 : x
  2. Step 2: Convert to fraction form
    8,354.53/12,532.10 = 2,808.06/x
  3. Step 3: Cross multiply
    8,354.53x = 12,532.10 × 2,808.06
  4. Step 4: Simplify right side
    8,354.53x = 35,190,888.73
  5. Step 5: Solve for x
    x = 35,190,888.73/8,354.53
  6. Step 6: Final answer
    x = 4,212.19

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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.