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Finding the Fourth Proportional to 11,475, 17,200.62 and 4,905.36

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Solution

The fourth proportional to 11,475, 17,200.62 and 4,905.36 is: 7,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475 : 17,200.62 = 4,905.36 : x
  2. Step 2: Convert to fraction form
    11,475/17,200.62 = 4,905.36/x
  3. Step 3: Cross multiply
    11,475x = 17,200.62 × 4,905.36
  4. Step 4: Simplify right side
    11,475x = 84,375,233.32
  5. Step 5: Solve for x
    x = 84,375,233.32/11,475
  6. Step 6: Final answer
    x = 7,352.96

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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.