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Finding the Fourth Proportional to 8,368, 12,553.08 and 2,524.64

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Solution

The fourth proportional to 8,368, 12,553.08 and 2,524.64 is: 3,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,368 : 12,553.08 = 2,524.64 : x
  2. Step 2: Convert to fraction form
    8,368/12,553.08 = 2,524.64/x
  3. Step 3: Cross multiply
    8,368x = 12,553.08 × 2,524.64
  4. Step 4: Simplify right side
    8,368x = 31,692,007.89
  5. Step 5: Solve for x
    x = 31,692,007.89/8,368
  6. Step 6: Final answer
    x = 3,787.29

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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.