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Finding the Fourth Proportional to 8,549.80, 12,824.14 and 2,710.60

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Solution

The fourth proportional to 8,549.80, 12,824.14 and 2,710.60 is: 4,065.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.80 : 12,824.14 = 2,710.60 : x
  2. Step 2: Convert to fraction form
    8,549.80/12,824.14 = 2,710.60/x
  3. Step 3: Cross multiply
    8,549.80x = 12,824.14 × 2,710.60
  4. Step 4: Simplify right side
    8,549.80x = 34,761,113.88
  5. Step 5: Solve for x
    x = 34,761,113.88/8,549.80
  6. Step 6: Final answer
    x = 4,065.72

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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.