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Finding the Fourth Proportional to 8,405.36, 12,610.80 and 4,243.40

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Solution

The fourth proportional to 8,405.36, 12,610.80 and 4,243.40 is: 6,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.36 : 12,610.80 = 4,243.40 : x
  2. Step 2: Convert to fraction form
    8,405.36/12,610.80 = 4,243.40/x
  3. Step 3: Cross multiply
    8,405.36x = 12,610.80 × 4,243.40
  4. Step 4: Simplify right side
    8,405.36x = 53,512,668.72
  5. Step 5: Solve for x
    x = 53,512,668.72/8,405.36
  6. Step 6: Final answer
    x = 6,366.49

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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.