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Finding the Fourth Proportional to 6,096.49, 8,411.93 and 3,707.75

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Solution

The fourth proportional to 6,096.49, 8,411.93 and 3,707.75 is: 5,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.49 : 8,411.93 = 3,707.75 : x
  2. Step 2: Convert to fraction form
    6,096.49/8,411.93 = 3,707.75/x
  3. Step 3: Cross multiply
    6,096.49x = 8,411.93 × 3,707.75
  4. Step 4: Simplify right side
    6,096.49x = 31,189,333.46
  5. Step 5: Solve for x
    x = 31,189,333.46/6,096.49
  6. Step 6: Final answer
    x = 5,115.95

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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.