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Finding the Fourth Proportional to 10,802.12, 16,203.18 and 6,181.88

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Solution

The fourth proportional to 10,802.12, 16,203.18 and 6,181.88 is: 9,272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.12 : 16,203.18 = 6,181.88 : x
  2. Step 2: Convert to fraction form
    10,802.12/16,203.18 = 6,181.88/x
  3. Step 3: Cross multiply
    10,802.12x = 16,203.18 × 6,181.88
  4. Step 4: Simplify right side
    10,802.12x = 100,166,033.36
  5. Step 5: Solve for x
    x = 100,166,033.36/10,802.12
  6. Step 6: Final answer
    x = 9,272.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.