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Finding the Fourth Proportional to 8,312.33, 11,459.98 and 6,717.17

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Solution

The fourth proportional to 8,312.33, 11,459.98 and 6,717.17 is: 9,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.33 : 11,459.98 = 6,717.17 : x
  2. Step 2: Convert to fraction form
    8,312.33/11,459.98 = 6,717.17/x
  3. Step 3: Cross multiply
    8,312.33x = 11,459.98 × 6,717.17
  4. Step 4: Simplify right side
    8,312.33x = 76,978,633.86
  5. Step 5: Solve for x
    x = 76,978,633.86/8,312.33
  6. Step 6: Final answer
    x = 9,260.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.