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Finding the Fourth Proportional to 8,354.61, 12,538.31 and 3,094.61

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Solution

The fourth proportional to 8,354.61, 12,538.31 and 3,094.61 is: 4,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.61 : 12,538.31 = 3,094.61 : x
  2. Step 2: Convert to fraction form
    8,354.61/12,538.31 = 3,094.61/x
  3. Step 3: Cross multiply
    8,354.61x = 12,538.31 × 3,094.61
  4. Step 4: Simplify right side
    8,354.61x = 38,801,101.34
  5. Step 5: Solve for x
    x = 38,801,101.34/8,354.61
  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.