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Finding the Fourth Proportional to 8,992, 13,492.86 and 4,375

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Solution

The fourth proportional to 8,992, 13,492.86 and 4,375 is: 6,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992 : 13,492.86 = 4,375 : x
  2. Step 2: Convert to fraction form
    8,992/13,492.86 = 4,375/x
  3. Step 3: Cross multiply
    8,992x = 13,492.86 × 4,375
  4. Step 4: Simplify right side
    8,992x = 59,031,262.50
  5. Step 5: Solve for x
    x = 59,031,262.50/8,992
  6. Step 6: Final answer
    x = 6,564.86

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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.