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Finding the Fourth Proportional to 8,602.97, 12,905.74 and 3,055.85

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Solution

The fourth proportional to 8,602.97, 12,905.74 and 3,055.85 is: 4,584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.97 : 12,905.74 = 3,055.85 : x
  2. Step 2: Convert to fraction form
    8,602.97/12,905.74 = 3,055.85/x
  3. Step 3: Cross multiply
    8,602.97x = 12,905.74 × 3,055.85
  4. Step 4: Simplify right side
    8,602.97x = 39,438,013.22
  5. Step 5: Solve for x
    x = 39,438,013.22/8,602.97
  6. Step 6: Final answer
    x = 4,584.23

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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.