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Finding the Fourth Proportional to 8,592.78, 12,894.13 and 4,644.05

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Solution

The fourth proportional to 8,592.78, 12,894.13 and 4,644.05 is: 6,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,592.78 : 12,894.13 = 4,644.05 : x
  2. Step 2: Convert to fraction form
    8,592.78/12,894.13 = 4,644.05/x
  3. Step 3: Cross multiply
    8,592.78x = 12,894.13 × 4,644.05
  4. Step 4: Simplify right side
    8,592.78x = 59,880,984.43
  5. Step 5: Solve for x
    x = 59,880,984.43/8,592.78
  6. Step 6: Final answer
    x = 6,968.76

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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.