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Finding the Fourth Proportional to 11,646.80, 17,470.07 and 4,251.19

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Solution

The fourth proportional to 11,646.80, 17,470.07 and 4,251.19 is: 6,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.80 : 17,470.07 = 4,251.19 : x
  2. Step 2: Convert to fraction form
    11,646.80/17,470.07 = 4,251.19/x
  3. Step 3: Cross multiply
    11,646.80x = 17,470.07 × 4,251.19
  4. Step 4: Simplify right side
    11,646.80x = 74,268,680.05
  5. Step 5: Solve for x
    x = 74,268,680.05/11,646.80
  6. Step 6: Final answer
    x = 6,376.75

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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.