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Finding the Fourth Proportional to 8,305.26, 11,459.25 and 4,945.92

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Solution

The fourth proportional to 8,305.26, 11,459.25 and 4,945.92 is: 6,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.26 : 11,459.25 = 4,945.92 : x
  2. Step 2: Convert to fraction form
    8,305.26/11,459.25 = 4,945.92/x
  3. Step 3: Cross multiply
    8,305.26x = 11,459.25 × 4,945.92
  4. Step 4: Simplify right side
    8,305.26x = 56,676,533.76
  5. Step 5: Solve for x
    x = 56,676,533.76/8,305.26
  6. Step 6: Final answer
    x = 6,824.17

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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.