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Finding the Fourth Proportional to 11,280.92, 16,952.03 and 6,019.60

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Solution

The fourth proportional to 11,280.92, 16,952.03 and 6,019.60 is: 9,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.92 : 16,952.03 = 6,019.60 : x
  2. Step 2: Convert to fraction form
    11,280.92/16,952.03 = 6,019.60/x
  3. Step 3: Cross multiply
    11,280.92x = 16,952.03 × 6,019.60
  4. Step 4: Simplify right side
    11,280.92x = 102,044,324.93
  5. Step 5: Solve for x
    x = 102,044,324.93/11,280.92
  6. Step 6: Final answer
    x = 9,045.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.