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Finding the Fourth Proportional to 11,235.80, 16,853.70 and 10,288.10

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Solution

The fourth proportional to 11,235.80, 16,853.70 and 10,288.10 is: 15,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235.80 : 16,853.70 = 10,288.10 : x
  2. Step 2: Convert to fraction form
    11,235.80/16,853.70 = 10,288.10/x
  3. Step 3: Cross multiply
    11,235.80x = 16,853.70 × 10,288.10
  4. Step 4: Simplify right side
    11,235.80x = 173,392,550.97
  5. Step 5: Solve for x
    x = 173,392,550.97/11,235.80
  6. Step 6: Final answer
    x = 15,432.15

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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.