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Finding the Fourth Proportional to 10,992, 16,492.80 and 4,064.64

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Solution

The fourth proportional to 10,992, 16,492.80 and 4,064.64 is: 6,098.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992 : 16,492.80 = 4,064.64 : x
  2. Step 2: Convert to fraction form
    10,992/16,492.80 = 4,064.64/x
  3. Step 3: Cross multiply
    10,992x = 16,492.80 × 4,064.64
  4. Step 4: Simplify right side
    10,992x = 67,037,294.59
  5. Step 5: Solve for x
    x = 67,037,294.59/10,992
  6. Step 6: Final answer
    x = 6,098.73

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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.