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Finding the Fourth Proportional to 8,033.95, 12,051.50 and 2,486.58

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Solution

The fourth proportional to 8,033.95, 12,051.50 and 2,486.58 is: 3,730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.95 : 12,051.50 = 2,486.58 : x
  2. Step 2: Convert to fraction form
    8,033.95/12,051.50 = 2,486.58/x
  3. Step 3: Cross multiply
    8,033.95x = 12,051.50 × 2,486.58
  4. Step 4: Simplify right side
    8,033.95x = 29,967,015.76
  5. Step 5: Solve for x
    x = 29,967,015.76/8,033.95
  6. Step 6: Final answer
    x = 3,730.05

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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.