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Finding the Fourth Proportional to 11,707.74, 17,568.54 and 4,317.39

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Solution

The fourth proportional to 11,707.74, 17,568.54 and 4,317.39 is: 6,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.74 : 17,568.54 = 4,317.39 : x
  2. Step 2: Convert to fraction form
    11,707.74/17,568.54 = 4,317.39/x
  3. Step 3: Cross multiply
    11,707.74x = 17,568.54 × 4,317.39
  4. Step 4: Simplify right side
    11,707.74x = 75,850,238.91
  5. Step 5: Solve for x
    x = 75,850,238.91/11,707.74
  6. Step 6: Final answer
    x = 6,478.64

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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.