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Finding the Fourth Proportional to 6,731.94, 10,098 and 3,810.54

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Solution

The fourth proportional to 6,731.94, 10,098 and 3,810.54 is: 5,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.94 : 10,098 = 3,810.54 : x
  2. Step 2: Convert to fraction form
    6,731.94/10,098 = 3,810.54/x
  3. Step 3: Cross multiply
    6,731.94x = 10,098 × 3,810.54
  4. Step 4: Simplify right side
    6,731.94x = 38,478,832.92
  5. Step 5: Solve for x
    x = 38,478,832.92/6,731.94
  6. Step 6: Final answer
    x = 5,715.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.