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Finding the Fourth Proportional to 10,433.80, 15,636.84 and 3,853.92

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Solution

The fourth proportional to 10,433.80, 15,636.84 and 3,853.92 is: 5,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.80 : 15,636.84 = 3,853.92 : x
  2. Step 2: Convert to fraction form
    10,433.80/15,636.84 = 3,853.92/x
  3. Step 3: Cross multiply
    10,433.80x = 15,636.84 × 3,853.92
  4. Step 4: Simplify right side
    10,433.80x = 60,263,130.41
  5. Step 5: Solve for x
    x = 60,263,130.41/10,433.80
  6. Step 6: Final answer
    x = 5,775.76

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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.