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Finding the Fourth Proportional to 8,662.50, 12,995.35 and 2,740.88

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Solution

The fourth proportional to 8,662.50, 12,995.35 and 2,740.88 is: 4,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.50 : 12,995.35 = 2,740.88 : x
  2. Step 2: Convert to fraction form
    8,662.50/12,995.35 = 2,740.88/x
  3. Step 3: Cross multiply
    8,662.50x = 12,995.35 × 2,740.88
  4. Step 4: Simplify right side
    8,662.50x = 35,618,654.14
  5. Step 5: Solve for x
    x = 35,618,654.14/8,662.50
  6. Step 6: Final answer
    x = 4,111.82

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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.