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Finding the Fourth Proportional to 11,475.36, 17,213.68 and 4,548

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Solution

The fourth proportional to 11,475.36, 17,213.68 and 4,548 is: 6,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.36 : 17,213.68 = 4,548 : x
  2. Step 2: Convert to fraction form
    11,475.36/17,213.68 = 4,548/x
  3. Step 3: Cross multiply
    11,475.36x = 17,213.68 × 4,548
  4. Step 4: Simplify right side
    11,475.36x = 78,287,816.64
  5. Step 5: Solve for x
    x = 78,287,816.64/11,475.36
  6. Step 6: Final answer
    x = 6,822.25

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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.