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Finding the Fourth Proportional to 7,847.38, 10,825.36 and 5,011.77

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Solution

The fourth proportional to 7,847.38, 10,825.36 and 5,011.77 is: 6,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.38 : 10,825.36 = 5,011.77 : x
  2. Step 2: Convert to fraction form
    7,847.38/10,825.36 = 5,011.77/x
  3. Step 3: Cross multiply
    7,847.38x = 10,825.36 × 5,011.77
  4. Step 4: Simplify right side
    7,847.38x = 54,254,135.30
  5. Step 5: Solve for x
    x = 54,254,135.30/7,847.38
  6. Step 6: Final answer
    x = 6,913.67

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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.