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Finding the Fourth Proportional to 10,780.60, 16,195.41 and 9,304.42

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Solution

The fourth proportional to 10,780.60, 16,195.41 and 9,304.42 is: 13,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.60 : 16,195.41 = 9,304.42 : x
  2. Step 2: Convert to fraction form
    10,780.60/16,195.41 = 9,304.42/x
  3. Step 3: Cross multiply
    10,780.60x = 16,195.41 × 9,304.42
  4. Step 4: Simplify right side
    10,780.60x = 150,688,896.71
  5. Step 5: Solve for x
    x = 150,688,896.71/10,780.60
  6. Step 6: Final answer
    x = 13,977.78

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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.