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Finding the Fourth Proportional to 8,216.20, 12,315.05 and 4,047.38

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Solution

The fourth proportional to 8,216.20, 12,315.05 and 4,047.38 is: 6,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.20 : 12,315.05 = 4,047.38 : x
  2. Step 2: Convert to fraction form
    8,216.20/12,315.05 = 4,047.38/x
  3. Step 3: Cross multiply
    8,216.20x = 12,315.05 × 4,047.38
  4. Step 4: Simplify right side
    8,216.20x = 49,843,666.62
  5. Step 5: Solve for x
    x = 49,843,666.62/8,216.20
  6. Step 6: Final answer
    x = 6,066.51

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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.