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Finding the Fourth Proportional to 10,194.20, 14,056.68 and 7,204.88

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Solution

The fourth proportional to 10,194.20, 14,056.68 and 7,204.88 is: 9,934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.20 : 14,056.68 = 7,204.88 : x
  2. Step 2: Convert to fraction form
    10,194.20/14,056.68 = 7,204.88/x
  3. Step 3: Cross multiply
    10,194.20x = 14,056.68 × 7,204.88
  4. Step 4: Simplify right side
    10,194.20x = 101,276,692.60
  5. Step 5: Solve for x
    x = 101,276,692.60/10,194.20
  6. Step 6: Final answer
    x = 9,934.74

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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.