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Finding the Fourth Proportional to 10,796, 16,194.88 and 3,004.82

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Solution

The fourth proportional to 10,796, 16,194.88 and 3,004.82 is: 4,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796 : 16,194.88 = 3,004.82 : x
  2. Step 2: Convert to fraction form
    10,796/16,194.88 = 3,004.82/x
  3. Step 3: Cross multiply
    10,796x = 16,194.88 × 3,004.82
  4. Step 4: Simplify right side
    10,796x = 48,662,699.32
  5. Step 5: Solve for x
    x = 48,662,699.32/10,796
  6. Step 6: Final answer
    x = 4,507.47

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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.