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Finding the Fourth Proportional to 10,283.73, 14,190.74 and 5,807.92

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Solution

The fourth proportional to 10,283.73, 14,190.74 and 5,807.92 is: 8,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.73 : 14,190.74 = 5,807.92 : x
  2. Step 2: Convert to fraction form
    10,283.73/14,190.74 = 5,807.92/x
  3. Step 3: Cross multiply
    10,283.73x = 14,190.74 × 5,807.92
  4. Step 4: Simplify right side
    10,283.73x = 82,418,682.66
  5. Step 5: Solve for x
    x = 82,418,682.66/10,283.73
  6. Step 6: Final answer
    x = 8,014.47

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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.