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Finding the Fourth Proportional to 8,070.66, 12,107.50 and 2,805.46

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Solution

The fourth proportional to 8,070.66, 12,107.50 and 2,805.46 is: 4,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.66 : 12,107.50 = 2,805.46 : x
  2. Step 2: Convert to fraction form
    8,070.66/12,107.50 = 2,805.46/x
  3. Step 3: Cross multiply
    8,070.66x = 12,107.50 × 2,805.46
  4. Step 4: Simplify right side
    8,070.66x = 33,967,106.95
  5. Step 5: Solve for x
    x = 33,967,106.95/8,070.66
  6. Step 6: Final answer
    x = 4,208.71

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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.