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Finding the Fourth Proportional to 11,712.84, 17,565.65 and 6,163.17

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Solution

The fourth proportional to 11,712.84, 17,565.65 and 6,163.17 is: 9,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.84 : 17,565.65 = 6,163.17 : x
  2. Step 2: Convert to fraction form
    11,712.84/17,565.65 = 6,163.17/x
  3. Step 3: Cross multiply
    11,712.84x = 17,565.65 × 6,163.17
  4. Step 4: Simplify right side
    11,712.84x = 108,260,056.29
  5. Step 5: Solve for x
    x = 108,260,056.29/11,712.84
  6. Step 6: Final answer
    x = 9,242.85

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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.