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Finding the Fourth Proportional to 8,354.30, 12,530.36 and 3,159.50

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Solution

The fourth proportional to 8,354.30, 12,530.36 and 3,159.50 is: 4,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.30 : 12,530.36 = 3,159.50 : x
  2. Step 2: Convert to fraction form
    8,354.30/12,530.36 = 3,159.50/x
  3. Step 3: Cross multiply
    8,354.30x = 12,530.36 × 3,159.50
  4. Step 4: Simplify right side
    8,354.30x = 39,589,672.42
  5. Step 5: Solve for x
    x = 39,589,672.42/8,354.30
  6. Step 6: Final answer
    x = 4,738.84

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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.