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Finding the Fourth Proportional to 8,354.64, 12,538.29 and 3,094.62

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Solution

The fourth proportional to 8,354.64, 12,538.29 and 3,094.62 is: 4,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.64 : 12,538.29 = 3,094.62 : x
  2. Step 2: Convert to fraction form
    8,354.64/12,538.29 = 3,094.62/x
  3. Step 3: Cross multiply
    8,354.64x = 12,538.29 × 3,094.62
  4. Step 4: Simplify right side
    8,354.64x = 38,801,243.00
  5. Step 5: Solve for x
    x = 38,801,243.00/8,354.64
  6. Step 6: Final answer
    x = 4,644.27

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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.