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Finding the Fourth Proportional to 7,898.00, 11,847.20 and 6,052.41

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Solution

The fourth proportional to 7,898.00, 11,847.20 and 6,052.41 is: 9,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.00 : 11,847.20 = 6,052.41 : x
  2. Step 2: Convert to fraction form
    7,898.00/11,847.20 = 6,052.41/x
  3. Step 3: Cross multiply
    7,898.00x = 11,847.20 × 6,052.41
  4. Step 4: Simplify right side
    7,898.00x = 71,704,081.49
  5. Step 5: Solve for x
    x = 71,704,081.49/7,898.00
  6. Step 6: Final answer
    x = 9,078.77

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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.