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Finding the Fourth Proportional to 8,558.12, 11,811 and 5,200.16

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Solution

The fourth proportional to 8,558.12, 11,811 and 5,200.16 is: 7,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,558.12 : 11,811 = 5,200.16 : x
  2. Step 2: Convert to fraction form
    8,558.12/11,811 = 5,200.16/x
  3. Step 3: Cross multiply
    8,558.12x = 11,811 × 5,200.16
  4. Step 4: Simplify right side
    8,558.12x = 61,419,089.76
  5. Step 5: Solve for x
    x = 61,419,089.76/8,558.12
  6. Step 6: Final answer
    x = 7,176.70

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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.