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Finding the Fourth Proportional to 8,182.66, 12,271.76 and 3,500.34

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Solution

The fourth proportional to 8,182.66, 12,271.76 and 3,500.34 is: 5,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.66 : 12,271.76 = 3,500.34 : x
  2. Step 2: Convert to fraction form
    8,182.66/12,271.76 = 3,500.34/x
  3. Step 3: Cross multiply
    8,182.66x = 12,271.76 × 3,500.34
  4. Step 4: Simplify right side
    8,182.66x = 42,955,332.40
  5. Step 5: Solve for x
    x = 42,955,332.40/8,182.66
  6. Step 6: Final answer
    x = 5,249.56

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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.