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Finding the Fourth Proportional to 8,551.38, 11,800.08 and 4,774.24

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Solution

The fourth proportional to 8,551.38, 11,800.08 and 4,774.24 is: 6,587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,551.38 : 11,800.08 = 4,774.24 : x
  2. Step 2: Convert to fraction form
    8,551.38/11,800.08 = 4,774.24/x
  3. Step 3: Cross multiply
    8,551.38x = 11,800.08 × 4,774.24
  4. Step 4: Simplify right side
    8,551.38x = 56,336,413.94
  5. Step 5: Solve for x
    x = 56,336,413.94/8,551.38
  6. Step 6: Final answer
    x = 6,587.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.