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Finding the Fourth Proportional to 11,284.56, 16,934.16 and 5,048.40

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Solution

The fourth proportional to 11,284.56, 16,934.16 and 5,048.40 is: 7,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.56 : 16,934.16 = 5,048.40 : x
  2. Step 2: Convert to fraction form
    11,284.56/16,934.16 = 5,048.40/x
  3. Step 3: Cross multiply
    11,284.56x = 16,934.16 × 5,048.40
  4. Step 4: Simplify right side
    11,284.56x = 85,490,413.34
  5. Step 5: Solve for x
    x = 85,490,413.34/11,284.56
  6. Step 6: Final answer
    x = 7,575.87

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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.