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Finding the Fourth Proportional to 8,706.63, 13,058.60 and 2,863.20

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Solution

The fourth proportional to 8,706.63, 13,058.60 and 2,863.20 is: 4,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.63 : 13,058.60 = 2,863.20 : x
  2. Step 2: Convert to fraction form
    8,706.63/13,058.60 = 2,863.20/x
  3. Step 3: Cross multiply
    8,706.63x = 13,058.60 × 2,863.20
  4. Step 4: Simplify right side
    8,706.63x = 37,389,369.20
  5. Step 5: Solve for x
    x = 37,389,369.20/8,706.63
  6. Step 6: Final answer
    x = 4,294.36

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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.