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Finding the Fourth Proportional to 8,506.76, 12,760.50 and 2,663.24

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Solution

The fourth proportional to 8,506.76, 12,760.50 and 2,663.24 is: 3,994.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.76 : 12,760.50 = 2,663.24 : x
  2. Step 2: Convert to fraction form
    8,506.76/12,760.50 = 2,663.24/x
  3. Step 3: Cross multiply
    8,506.76x = 12,760.50 × 2,663.24
  4. Step 4: Simplify right side
    8,506.76x = 33,984,274.02
  5. Step 5: Solve for x
    x = 33,984,274.02/8,506.76
  6. Step 6: Final answer
    x = 3,994.97

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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.