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Finding the Fourth Proportional to 11,470.68, 17,208.46 and 3,684.96

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Solution

The fourth proportional to 11,470.68, 17,208.46 and 3,684.96 is: 5,528.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.68 : 17,208.46 = 3,684.96 : x
  2. Step 2: Convert to fraction form
    11,470.68/17,208.46 = 3,684.96/x
  3. Step 3: Cross multiply
    11,470.68x = 17,208.46 × 3,684.96
  4. Step 4: Simplify right side
    11,470.68x = 63,412,486.76
  5. Step 5: Solve for x
    x = 63,412,486.76/11,470.68
  6. Step 6: Final answer
    x = 5,528.22

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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.