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Finding the Fourth Proportional to 8,548.10, 12,823.15 and 2,705.30

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Solution

The fourth proportional to 8,548.10, 12,823.15 and 2,705.30 is: 4,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.10 : 12,823.15 = 2,705.30 : x
  2. Step 2: Convert to fraction form
    8,548.10/12,823.15 = 2,705.30/x
  3. Step 3: Cross multiply
    8,548.10x = 12,823.15 × 2,705.30
  4. Step 4: Simplify right side
    8,548.10x = 34,690,467.70
  5. Step 5: Solve for x
    x = 34,690,467.70/8,548.10
  6. Step 6: Final answer
    x = 4,058.27

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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.