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Finding the Fourth Proportional to 10,284.64, 14,192.76 and 5,808.34

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Solution

The fourth proportional to 10,284.64, 14,192.76 and 5,808.34 is: 8,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.64 : 14,192.76 = 5,808.34 : x
  2. Step 2: Convert to fraction form
    10,284.64/14,192.76 = 5,808.34/x
  3. Step 3: Cross multiply
    10,284.64x = 14,192.76 × 5,808.34
  4. Step 4: Simplify right side
    10,284.64x = 82,436,375.62
  5. Step 5: Solve for x
    x = 82,436,375.62/10,284.64
  6. Step 6: Final answer
    x = 8,015.48

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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.