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Finding the Fourth Proportional to 7,361.96, 11,033.58 and 3,461

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Solution

The fourth proportional to 7,361.96, 11,033.58 and 3,461 is: 5,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.96 : 11,033.58 = 3,461 : x
  2. Step 2: Convert to fraction form
    7,361.96/11,033.58 = 3,461/x
  3. Step 3: Cross multiply
    7,361.96x = 11,033.58 × 3,461
  4. Step 4: Simplify right side
    7,361.96x = 38,187,220.38
  5. Step 5: Solve for x
    x = 38,187,220.38/7,361.96
  6. Step 6: Final answer
    x = 5,187.10

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Why These Related Problems?

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