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Finding the Fourth Proportional to 11,713.84, 17,575.92 and 4,316.56

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Solution

The fourth proportional to 11,713.84, 17,575.92 and 4,316.56 is: 6,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.84 : 17,575.92 = 4,316.56 : x
  2. Step 2: Convert to fraction form
    11,713.84/17,575.92 = 4,316.56/x
  3. Step 3: Cross multiply
    11,713.84x = 17,575.92 × 4,316.56
  4. Step 4: Simplify right side
    11,713.84x = 75,867,513.24
  5. Step 5: Solve for x
    x = 75,867,513.24/11,713.84
  6. Step 6: Final answer
    x = 6,476.74

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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.