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Finding the Fourth Proportional to 8,236.29, 11,355.08 and 6,814.74

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Solution

The fourth proportional to 8,236.29, 11,355.08 and 6,814.74 is: 9,395.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236.29 : 11,355.08 = 6,814.74 : x
  2. Step 2: Convert to fraction form
    8,236.29/11,355.08 = 6,814.74/x
  3. Step 3: Cross multiply
    8,236.29x = 11,355.08 × 6,814.74
  4. Step 4: Simplify right side
    8,236.29x = 77,381,883.81
  5. Step 5: Solve for x
    x = 77,381,883.81/8,236.29
  6. Step 6: Final answer
    x = 9,395.24

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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.