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Finding the Fourth Proportional to 11,655.44, 17,473.67 and 5,419.38

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Solution

The fourth proportional to 11,655.44, 17,473.67 and 5,419.38 is: 8,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.44 : 17,473.67 = 5,419.38 : x
  2. Step 2: Convert to fraction form
    11,655.44/17,473.67 = 5,419.38/x
  3. Step 3: Cross multiply
    11,655.44x = 17,473.67 × 5,419.38
  4. Step 4: Simplify right side
    11,655.44x = 94,696,457.72
  5. Step 5: Solve for x
    x = 94,696,457.72/11,655.44
  6. Step 6: Final answer
    x = 8,124.66

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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.