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Finding the Fourth Proportional to 7,355.84, 11,033.76 and 5,174.32

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Solution

The fourth proportional to 7,355.84, 11,033.76 and 5,174.32 is: 7,761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,355.84 : 11,033.76 = 5,174.32 : x
  2. Step 2: Convert to fraction form
    7,355.84/11,033.76 = 5,174.32/x
  3. Step 3: Cross multiply
    7,355.84x = 11,033.76 × 5,174.32
  4. Step 4: Simplify right side
    7,355.84x = 57,092,205.04
  5. Step 5: Solve for x
    x = 57,092,205.04/7,355.84
  6. Step 6: Final answer
    x = 7,761.48

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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.