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Finding the Fourth Proportional to 8,577, 12,865.47 and 2,734.08

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Solution

The fourth proportional to 8,577, 12,865.47 and 2,734.08 is: 4,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577 : 12,865.47 = 2,734.08 : x
  2. Step 2: Convert to fraction form
    8,577/12,865.47 = 2,734.08/x
  3. Step 3: Cross multiply
    8,577x = 12,865.47 × 2,734.08
  4. Step 4: Simplify right side
    8,577x = 35,175,224.22
  5. Step 5: Solve for x
    x = 35,175,224.22/8,577
  6. Step 6: Final answer
    x = 4,101.11

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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.