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Finding the Fourth Proportional to 8,048.40, 12,073.28 and 2,205

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Solution

The fourth proportional to 8,048.40, 12,073.28 and 2,205 is: 3,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.40 : 12,073.28 = 2,205 : x
  2. Step 2: Convert to fraction form
    8,048.40/12,073.28 = 2,205/x
  3. Step 3: Cross multiply
    8,048.40x = 12,073.28 × 2,205
  4. Step 4: Simplify right side
    8,048.40x = 26,621,571.38
  5. Step 5: Solve for x
    x = 26,621,571.38/8,048.40
  6. Step 6: Final answer
    x = 3,307.69

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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.