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Finding the Fourth Proportional to 10,287.82, 14,186.58 and 8,800.66

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Solution

The fourth proportional to 10,287.82, 14,186.58 and 8,800.66 is: 12,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.82 : 14,186.58 = 8,800.66 : x
  2. Step 2: Convert to fraction form
    10,287.82/14,186.58 = 8,800.66/x
  3. Step 3: Cross multiply
    10,287.82x = 14,186.58 × 8,800.66
  4. Step 4: Simplify right side
    10,287.82x = 124,851,267.14
  5. Step 5: Solve for x
    x = 124,851,267.14/10,287.82
  6. Step 6: Final answer
    x = 12,135.83

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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.