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Finding the Fourth Proportional to 11,707.82, 17,561.71 and 5,465.74

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Solution

The fourth proportional to 11,707.82, 17,561.71 and 5,465.74 is: 8,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.82 : 17,561.71 = 5,465.74 : x
  2. Step 2: Convert to fraction form
    11,707.82/17,561.71 = 5,465.74/x
  3. Step 3: Cross multiply
    11,707.82x = 17,561.71 × 5,465.74
  4. Step 4: Simplify right side
    11,707.82x = 95,987,740.82
  5. Step 5: Solve for x
    x = 95,987,740.82/11,707.82
  6. Step 6: Final answer
    x = 8,198.60

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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.