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Finding the Fourth Proportional to 6,974.87, 10,510.29 and 5,769.41

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Solution

The fourth proportional to 6,974.87, 10,510.29 and 5,769.41 is: 8,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.87 : 10,510.29 = 5,769.41 : x
  2. Step 2: Convert to fraction form
    6,974.87/10,510.29 = 5,769.41/x
  3. Step 3: Cross multiply
    6,974.87x = 10,510.29 × 5,769.41
  4. Step 4: Simplify right side
    6,974.87x = 60,638,143.38
  5. Step 5: Solve for x
    x = 60,638,143.38/6,974.87
  6. Step 6: Final answer
    x = 8,693.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.