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Finding the Fourth Proportional to 10,284.74, 14,192.94 and 5,808.28

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Solution

The fourth proportional to 10,284.74, 14,192.94 and 5,808.28 is: 8,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.74 : 14,192.94 = 5,808.28 : x
  2. Step 2: Convert to fraction form
    10,284.74/14,192.94 = 5,808.28/x
  3. Step 3: Cross multiply
    10,284.74x = 14,192.94 × 5,808.28
  4. Step 4: Simplify right side
    10,284.74x = 82,436,569.54
  5. Step 5: Solve for x
    x = 82,436,569.54/10,284.74
  6. Step 6: Final answer
    x = 8,015.43

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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.