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Finding the Fourth Proportional to 11,209.76, 16,817.52 and 4,280.48

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Solution

The fourth proportional to 11,209.76, 16,817.52 and 4,280.48 is: 6,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.76 : 16,817.52 = 4,280.48 : x
  2. Step 2: Convert to fraction form
    11,209.76/16,817.52 = 4,280.48/x
  3. Step 3: Cross multiply
    11,209.76x = 16,817.52 × 4,280.48
  4. Step 4: Simplify right side
    11,209.76x = 71,987,058.01
  5. Step 5: Solve for x
    x = 71,987,058.01/11,209.76
  6. Step 6: Final answer
    x = 6,421.82

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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.