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Finding the Fourth Proportional to 10,274.80, 14,179.65 and 6,496.60

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Solution

The fourth proportional to 10,274.80, 14,179.65 and 6,496.60 is: 8,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.80 : 14,179.65 = 6,496.60 : x
  2. Step 2: Convert to fraction form
    10,274.80/14,179.65 = 6,496.60/x
  3. Step 3: Cross multiply
    10,274.80x = 14,179.65 × 6,496.60
  4. Step 4: Simplify right side
    10,274.80x = 92,119,514.19
  5. Step 5: Solve for x
    x = 92,119,514.19/10,274.80
  6. Step 6: Final answer
    x = 8,965.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.