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Finding the Fourth Proportional to 8,208.04, 12,311.64 and 3,013.50

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Solution

The fourth proportional to 8,208.04, 12,311.64 and 3,013.50 is: 4,520.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.04 : 12,311.64 = 3,013.50 : x
  2. Step 2: Convert to fraction form
    8,208.04/12,311.64 = 3,013.50/x
  3. Step 3: Cross multiply
    8,208.04x = 12,311.64 × 3,013.50
  4. Step 4: Simplify right side
    8,208.04x = 37,101,127.14
  5. Step 5: Solve for x
    x = 37,101,127.14/8,208.04
  6. Step 6: Final answer
    x = 4,520.10

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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.