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Finding the Fourth Proportional to 11,471.63, 17,210.48 and 3,680.64

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Solution

The fourth proportional to 11,471.63, 17,210.48 and 3,680.64 is: 5,521.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.63 : 17,210.48 = 3,680.64 : x
  2. Step 2: Convert to fraction form
    11,471.63/17,210.48 = 3,680.64/x
  3. Step 3: Cross multiply
    11,471.63x = 17,210.48 × 3,680.64
  4. Step 4: Simplify right side
    11,471.63x = 63,345,562.70
  5. Step 5: Solve for x
    x = 63,345,562.70/11,471.63
  6. Step 6: Final answer
    x = 5,521.93

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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.