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Finding the Fourth Proportional to 8,771.64, 13,135.00 and 5,800.98

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Solution

The fourth proportional to 8,771.64, 13,135.00 and 5,800.98 is: 8,686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.64 : 13,135.00 = 5,800.98 : x
  2. Step 2: Convert to fraction form
    8,771.64/13,135.00 = 5,800.98/x
  3. Step 3: Cross multiply
    8,771.64x = 13,135.00 × 5,800.98
  4. Step 4: Simplify right side
    8,771.64x = 76,195,891.07
  5. Step 5: Solve for x
    x = 76,195,891.07/8,771.64
  6. Step 6: Final answer
    x = 8,686.62

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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.