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Finding the Fourth Proportional to 10,194.12, 14,068.08 and 6,004.80

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Solution

The fourth proportional to 10,194.12, 14,068.08 and 6,004.80 is: 8,286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.12 : 14,068.08 = 6,004.80 : x
  2. Step 2: Convert to fraction form
    10,194.12/14,068.08 = 6,004.80/x
  3. Step 3: Cross multiply
    10,194.12x = 14,068.08 × 6,004.80
  4. Step 4: Simplify right side
    10,194.12x = 84,476,006.78
  5. Step 5: Solve for x
    x = 84,476,006.78/10,194.12
  6. Step 6: Final answer
    x = 8,286.74

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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.