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Finding the Fourth Proportional to 8,446.53, 12,668.90 and 2,602.50

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Solution

The fourth proportional to 8,446.53, 12,668.90 and 2,602.50 is: 3,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.53 : 12,668.90 = 2,602.50 : x
  2. Step 2: Convert to fraction form
    8,446.53/12,668.90 = 2,602.50/x
  3. Step 3: Cross multiply
    8,446.53x = 12,668.90 × 2,602.50
  4. Step 4: Simplify right side
    8,446.53x = 32,970,799.24
  5. Step 5: Solve for x
    x = 32,970,799.24/8,446.53
  6. Step 6: Final answer
    x = 3,903.47

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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.