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Finding the Fourth Proportional to 8,245.16, 12,367.38 and 2,402

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Solution

The fourth proportional to 8,245.16, 12,367.38 and 2,402 is: 3,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.16 : 12,367.38 = 2,402 : x
  2. Step 2: Convert to fraction form
    8,245.16/12,367.38 = 2,402/x
  3. Step 3: Cross multiply
    8,245.16x = 12,367.38 × 2,402
  4. Step 4: Simplify right side
    8,245.16x = 29,706,446.76
  5. Step 5: Solve for x
    x = 29,706,446.76/8,245.16
  6. Step 6: Final answer
    x = 3,602.90

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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.