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Finding the Fourth Proportional to 11,310.20, 16,952.97 and 9,661.76

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Solution

The fourth proportional to 11,310.20, 16,952.97 and 9,661.76 is: 14,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.20 : 16,952.97 = 9,661.76 : x
  2. Step 2: Convert to fraction form
    11,310.20/16,952.97 = 9,661.76/x
  3. Step 3: Cross multiply
    11,310.20x = 16,952.97 × 9,661.76
  4. Step 4: Simplify right side
    11,310.20x = 163,795,527.43
  5. Step 5: Solve for x
    x = 163,795,527.43/11,310.20
  6. Step 6: Final answer
    x = 14,482.11

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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.