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Finding the Fourth Proportional to 8,041.80, 12,062.70 and 2,848.20

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Solution

The fourth proportional to 8,041.80, 12,062.70 and 2,848.20 is: 4,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.80 : 12,062.70 = 2,848.20 : x
  2. Step 2: Convert to fraction form
    8,041.80/12,062.70 = 2,848.20/x
  3. Step 3: Cross multiply
    8,041.80x = 12,062.70 × 2,848.20
  4. Step 4: Simplify right side
    8,041.80x = 34,356,982.14
  5. Step 5: Solve for x
    x = 34,356,982.14/8,041.80
  6. Step 6: Final answer
    x = 4,272.30

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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.