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Finding the Fourth Proportional to 10,194.56, 15,306 and 5,267.84

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Solution

The fourth proportional to 10,194.56, 15,306 and 5,267.84 is: 7,909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.56 : 15,306 = 5,267.84 : x
  2. Step 2: Convert to fraction form
    10,194.56/15,306 = 5,267.84/x
  3. Step 3: Cross multiply
    10,194.56x = 15,306 × 5,267.84
  4. Step 4: Simplify right side
    10,194.56x = 80,629,559.04
  5. Step 5: Solve for x
    x = 80,629,559.04/10,194.56
  6. Step 6: Final answer
    x = 7,909.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.