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Finding the Fourth Proportional to 8,185.92, 11,284.68 and 5,664.18

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Solution

The fourth proportional to 8,185.92, 11,284.68 and 5,664.18 is: 7,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.92 : 11,284.68 = 5,664.18 : x
  2. Step 2: Convert to fraction form
    8,185.92/11,284.68 = 5,664.18/x
  3. Step 3: Cross multiply
    8,185.92x = 11,284.68 × 5,664.18
  4. Step 4: Simplify right side
    8,185.92x = 63,918,458.76
  5. Step 5: Solve for x
    x = 63,918,458.76/8,185.92
  6. Step 6: Final answer
    x = 7,808.34

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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.