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Finding the Fourth Proportional to 10,895, 16,339.68 and 4,651.88

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Solution

The fourth proportional to 10,895, 16,339.68 and 4,651.88 is: 6,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895 : 16,339.68 = 4,651.88 : x
  2. Step 2: Convert to fraction form
    10,895/16,339.68 = 4,651.88/x
  3. Step 3: Cross multiply
    10,895x = 16,339.68 × 4,651.88
  4. Step 4: Simplify right side
    10,895x = 76,010,230.60
  5. Step 5: Solve for x
    x = 76,010,230.60/10,895
  6. Step 6: Final answer
    x = 6,976.62

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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.