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Finding the Fourth Proportional to 7,771.08, 10,724.16 and 4,627.38

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Solution

The fourth proportional to 7,771.08, 10,724.16 and 4,627.38 is: 6,385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.08 : 10,724.16 = 4,627.38 : x
  2. Step 2: Convert to fraction form
    7,771.08/10,724.16 = 4,627.38/x
  3. Step 3: Cross multiply
    7,771.08x = 10,724.16 × 4,627.38
  4. Step 4: Simplify right side
    7,771.08x = 49,624,763.50
  5. Step 5: Solve for x
    x = 49,624,763.50/7,771.08
  6. Step 6: Final answer
    x = 6,385.83

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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.