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Finding the Fourth Proportional to 8,548.96, 12,821.60 and 2,706.08

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Solution

The fourth proportional to 8,548.96, 12,821.60 and 2,706.08 is: 4,058.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.96 : 12,821.60 = 2,706.08 : x
  2. Step 2: Convert to fraction form
    8,548.96/12,821.60 = 2,706.08/x
  3. Step 3: Cross multiply
    8,548.96x = 12,821.60 × 2,706.08
  4. Step 4: Simplify right side
    8,548.96x = 34,696,275.33
  5. Step 5: Solve for x
    x = 34,696,275.33/8,548.96
  6. Step 6: Final answer
    x = 4,058.54

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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.