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Finding the Fourth Proportional to 11,424.16, 17,136.48 and 4,853.44

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Solution

The fourth proportional to 11,424.16, 17,136.48 and 4,853.44 is: 7,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.16 : 17,136.48 = 4,853.44 : x
  2. Step 2: Convert to fraction form
    11,424.16/17,136.48 = 4,853.44/x
  3. Step 3: Cross multiply
    11,424.16x = 17,136.48 × 4,853.44
  4. Step 4: Simplify right side
    11,424.16x = 83,170,877.49
  5. Step 5: Solve for x
    x = 83,170,877.49/11,424.16
  6. Step 6: Final answer
    x = 7,280.26

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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.