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Finding the Fourth Proportional to 8,574.96, 12,848.20 and 8,250.80

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Solution

The fourth proportional to 8,574.96, 12,848.20 and 8,250.80 is: 12,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.96 : 12,848.20 = 8,250.80 : x
  2. Step 2: Convert to fraction form
    8,574.96/12,848.20 = 8,250.80/x
  3. Step 3: Cross multiply
    8,574.96x = 12,848.20 × 8,250.80
  4. Step 4: Simplify right side
    8,574.96x = 106,007,928.56
  5. Step 5: Solve for x
    x = 106,007,928.56/8,574.96
  6. Step 6: Final answer
    x = 12,362.50

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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.