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Finding the Fourth Proportional to 8,146.49, 11,236.82 and 6,465.24

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Solution

The fourth proportional to 8,146.49, 11,236.82 and 6,465.24 is: 8,917.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.49 : 11,236.82 = 6,465.24 : x
  2. Step 2: Convert to fraction form
    8,146.49/11,236.82 = 6,465.24/x
  3. Step 3: Cross multiply
    8,146.49x = 11,236.82 × 6,465.24
  4. Step 4: Simplify right side
    8,146.49x = 72,648,705.81
  5. Step 5: Solve for x
    x = 72,648,705.81/8,146.49
  6. Step 6: Final answer
    x = 8,917.80

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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.