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Finding the Fourth Proportional to 11,382.80, 17,063.40 and 10,216.40

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Solution

The fourth proportional to 11,382.80, 17,063.40 and 10,216.40 is: 15,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.80 : 17,063.40 = 10,216.40 : x
  2. Step 2: Convert to fraction form
    11,382.80/17,063.40 = 10,216.40/x
  3. Step 3: Cross multiply
    11,382.80x = 17,063.40 × 10,216.40
  4. Step 4: Simplify right side
    11,382.80x = 174,326,519.76
  5. Step 5: Solve for x
    x = 174,326,519.76/11,382.80
  6. Step 6: Final answer
    x = 15,314.91

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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.