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Finding the Fourth Proportional to 10,288.73, 14,197.61 and 5,812.88

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Solution

The fourth proportional to 10,288.73, 14,197.61 and 5,812.88 is: 8,021.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.73 : 14,197.61 = 5,812.88 : x
  2. Step 2: Convert to fraction form
    10,288.73/14,197.61 = 5,812.88/x
  3. Step 3: Cross multiply
    10,288.73x = 14,197.61 × 5,812.88
  4. Step 4: Simplify right side
    10,288.73x = 82,528,946.76
  5. Step 5: Solve for x
    x = 82,528,946.76/10,288.73
  6. Step 6: Final answer
    x = 8,021.29

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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.