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Finding the Fourth Proportional to 8,458.80, 12,697.80 and 4,561.20

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Solution

The fourth proportional to 8,458.80, 12,697.80 and 4,561.20 is: 6,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,458.80 : 12,697.80 = 4,561.20 : x
  2. Step 2: Convert to fraction form
    8,458.80/12,697.80 = 4,561.20/x
  3. Step 3: Cross multiply
    8,458.80x = 12,697.80 × 4,561.20
  4. Step 4: Simplify right side
    8,458.80x = 57,917,205.36
  5. Step 5: Solve for x
    x = 57,917,205.36/8,458.80
  6. Step 6: Final answer
    x = 6,846.98

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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.