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Finding the Fourth Proportional to 10,287.96, 14,197.21 and 5,750.74

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Solution

The fourth proportional to 10,287.96, 14,197.21 and 5,750.74 is: 7,935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.96 : 14,197.21 = 5,750.74 : x
  2. Step 2: Convert to fraction form
    10,287.96/14,197.21 = 5,750.74/x
  3. Step 3: Cross multiply
    10,287.96x = 14,197.21 × 5,750.74
  4. Step 4: Simplify right side
    10,287.96x = 81,644,463.44
  5. Step 5: Solve for x
    x = 81,644,463.44/10,287.96
  6. Step 6: Final answer
    x = 7,935.92

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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.