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Finding the Fourth Proportional to 8,302.02, 12,453 and 2,458.17

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Solution

The fourth proportional to 8,302.02, 12,453 and 2,458.17 is: 3,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.02 : 12,453 = 2,458.17 : x
  2. Step 2: Convert to fraction form
    8,302.02/12,453 = 2,458.17/x
  3. Step 3: Cross multiply
    8,302.02x = 12,453 × 2,458.17
  4. Step 4: Simplify right side
    8,302.02x = 30,611,591.01
  5. Step 5: Solve for x
    x = 30,611,591.01/8,302.02
  6. Step 6: Final answer
    x = 3,687.25

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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.